F(x)=x 4 −x 2 9 g(x)=x 3 3x 2 12 2 What is (f⋅g)(x)?The composite function f g (x) is read as "f of g of x " The function g (x) is called an inner function and the function f (x) is called an outer function Hence, we can also read f g (x) as "the function g is the inner function of the outer function f " How to Solve Composite Functions?Find the domain of the composite function f of g
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F(x)=x^2 what is g(x) (1 9) brainly
F(x)=x^2 what is g(x) (1 9) brainly- Explanation The value under a square root cannot be negative, or else the solution is imaginary So, we need 9 −x2 ≥ 0, or 9 ≥ x2, so x ≤ 3 and x ≥ − 3, or −33 As x takes on these values, we see that the smallest value of the range is 0, or when x = ± 3 (so √9 − 9 = √0 = 0 ), and a max when x = 0, where y = √9 − 0Create your account View this answer Given f(x) =2x1 g(x) =x2 f ( x) = 2 x 1 g ( x) = x 2 Recall that fog= f(g(x)) f o g = f ( g ( x)) f(x) = 2x1 f(x2) = 2x21 f ( x) = 2 x 1 f ( x 2
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Then, f(x)g(x) = 4x 2 4x 1 = 1 Thus deg( f ⋅ g ) = 0 which is not greater than the degrees of f and g (which each had degree 1) Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f ( x ) = 0 to also be undefined so that it follows the rules of a norm in a Euclidean domainG ( x ) = \frac { 1 } { x ^ { 2 } ( 1 x ) } g(x) = x2(1 − x)1 Use the distributive property to multiply x^ {2} by 1x Use the distributive property to multiply x2 by 1− x \frac {1} {x^ {2}x^ {3}} x2 − x31Start your free trial In partnership with You are being redirected to Course Hero I
F(x)=x4−9 g(x)=x39 (f⋅g)(x)= Thanks so much!Solution For If f(x)=(x^21) and g(x)=(2x3) then (g o f)(x)=?Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel
PreAlgebra Graph f (x)=x^2g (x)= (x7)^29 f (x) = x2g(x) = (x 7)2 9 f ( x) = x 2 g ( x) = ( x 7) 2 9 Rewrite the function as an equation y = y = The slope and yintercept cannot be found for this problem since it is not linear Not Linear Use the slopeintercept form to find the slope and y How do you find the (f o g o h) (x) for #f(x)=(x2)/(2x1), #g(x)=3x1#, #h(x)=x^2#?1,16 1 See answer Advertisement Advertisement
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Determine composite and inverse functions for trigonometric, logarithmic, exponential or algebraic functions as part of Bitesize Higher Maths =x f(g(x))=2(x1)/21 =x11 =x Algebra Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Earth Science Environmental Science Organic Chemistry Physics Math Algebra Calculus Geometry Prealgebra Precalculus Statistics Trigonometry Humanities English Grammar US History World History and beyond Socratic Meta Featured Answers Topics If #f(x) = 2x1# and #g(x) = (x1)/2Since we are looking for gf(x), we are going to have to substitute f(x) into the g(x) formula This substitution an important part of what we are doing This is where our understanding of a quadratic equation is now useful We take the g(x)=2(x1) equation and use the f(x) formula to substitute values of x g(x) becomes g(x)=2((x1)^21) Be
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Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!F(x)=x^4−x^29 g(x)=x^33x^212 (f−g)(x)= 2 What is (f⋅g)(x)?Answer and Explanation 1 Become a Studycom member to unlock this answer!
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AnswerD g(x)=(4x)^2 ktara ktara Mathematics Middle School answered F(x) = x2 What is g(x)?Find the domain of the composite function f of gSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
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Let's rephrase the question to have less confusion about the used variable > What does mathf(q)/math equal to if mathf(q^2) = 9/math? Explanation The problem with this type of question is often the confusion that results from two different uses of x If instead we write XXXf (w) = w2 −w then there is less difficulty in replacing w with g(x) XXXf (g(x)) = g(x)2 − g(x) and then replacing g(x) with 3x 1 XXXf (g(x)) = (3x 1)2 − (3x 1)Graph f (x)=9 f (x) = 9 f ( x) = 9 Rewrite the function as an equation y = 9 y = 9 Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Find the values of m m and b b using the
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Precalculus Functions Defined and Notation Function Composition 1 Answer Noah G In this problem, ƒ o g o h = ƒ(g(h(x))) Explanation Start out by plugging h into g ƒ(g(#x^2# 1 What is (f−g)(x)?Solution For Let f(x)=x^2 and g(x)=2x1 be two real functions Find (fg)(x),(fg)(x),(fg)(x), \left(\dfrac{f}{g}\right)(x)
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We are given two separate functions, namely f(x) and g(x) Since f(x) is a difference of two squares (x^2 is a squared term and 81 is a squared term), we can rewrite it as (x 9)(x 9) Now, this will help us when we multiply through by g(x) Let's discuss the solution to g(x) In exponent laws, any number to the power of a negative numberFind f(g(x)) f(x)=x^29 , g(x)=3x, Set up the composite result function Evaluate by substituting in the value of into Simplify each term Tap for more steps Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property Apply the distributive property Simplify and combine like terms Tap for more steps Simplify each If f (x)=1x and f (1x)=1 (1x)=x, then they are not the same Thus, it's not the right answer I would pick number on this question A 13=2, 1 (2)=3 Not the same B 1 (3)^2=8, 1 (2)^2=3 Not the same D (3)^2 (13)^2=9*4=36, (2)^2 (12)^2=4*9=36, Same answer
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Solution Steps Factor out x Factor out x Consider x^ {3}3x^ {2}x3 Do the grouping x^ {3}3x^ {2}x3=\left (x^ {3}3x^ {2}\right)\left (x3\right), and factor out x^ {2} in the first and 1 in the second group Consider x3 3x2 −x− 3 Do the grouping x3 3x2 − x− 3 = (x3 3x2)(−x−3), and factor out x2 in the first and f (x) = (2 −x1 2) and g(x) = x2 − 9 so, g(x) ÷ f (x) = x2 −9 2 − x1 2 Now, the denominator cannot be zero ie 2 − x1 2 ≠ 0 so, x1 2 ≠ 2 Hence, x ≠ 4 Therefore, the domain is all values except x = 4 )>G(x) → "g of x" → "operation(s), g, applied to a given quantity or value , x" "g(x) = x1" tells you to simply subtract 1 from whatever xvalue is given g(5)= 5–1=4 g(6)= 6–1=5 g(9)= 9–1=8 g(x)=x1 f(x) → "f of x" → "operations, f, applied to a g
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In this question you therefore replace the x in 2x4 with x 2 1 This leads to g(f(x))=2(f(x))4, or g(f(x))=2(x 2 1)4 The next step is to expand the brackets, giving 2x 2 24, and then to collect like terms to give g(f(x))=2x 2 6 Answered by Georgina M • Maths tutor 387 Views See similar Maths GCSE tutors Need help with Maths?One to one online tuition can be a great way toWhich simplifies to −1/x 2 Multiplication by constant Example What is ddx 5x 3 ?For example, if we apply the function f to f(x), we have ff(x) or f 2 (x) f 2 (x) = ff(x) = f(x 3) = (x 3) 3 = x 9 One thing to note when calculating composite functions is that fg(x) is unlikely to be the same as gf(x) For instance, from using f(x) and g(x) from our example above, we can calculate gf(x
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F (g (2)), g (x)=2x1, f (x)=x^2 \square!This equation is in standard form ax^{2}bxc=0 Substitute 1 for a, f4 for b, and 5 for c in the quadratic formula, \frac{b±\sqrt{b^{2}4ac}}{2a} This equation is in standard form a x 2 b x c = 0 Substitute 1 for a, ∣ f ∣ − 4 for b, and − 5 for c in the quadratic formula, 2 a − b ± b 2 − 4 a c x=\frac{\left(f4\right)±\sqrt{\left(f4\right)^{2}4\left(5Domain of f(x) = x/(x^21) Natural Language;
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The derivative of cf = cf' the derivative of 5f = 5f' We know (from the Power Rule) ddx x 3 = 3x 3−1 = 3x 2 So ddx 5x 3 = 5 ddx x 3 = 5 × 3x 2 = 15x 2 Sum Rule Example What is the derivative of x 2 x 3 ?Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer isThe Sum Rule says the derivative of f g = f' g' So we can work out each derivative
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Axis of Symmetry x = 3 x = 3 Directrix y = −1 4 y = 1 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with 2 2 in the expression f ( 2) = ( 2) 2 − 6 ⋅ 2 9 f ( 2) = ( 2) 2 6 ⋅ 2 9> What does mathf(x)/math equal to if mathf(x^2) = 9/math?There is no way to tell without know
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\displaystyle{x}\in\mathbb{R},{x}\ne{1},{2} Explanation \displaystyle{f{{\left({x}\right)}}}\ \text{ is defined for all values of x except values which Transcript Example 16 Let f(x) = x2and g(x) = 2x 1 be two real functions Find (f g) (x), (f – g) (x), (fg) (x), ("f" /𝑔) (x) f(x) = x2 & g(x) = 2x 1 (fCreate your account View this answer If g ( x) = 2 f ( x) 1, then g (6) = 2 f (6) 1 The function g ( x
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