Click here👆to get an answer to your question ️ If g(x) = x^2 x 1 and (gof)(x) = 4x^2 10x 5 , then f (54) is equal to Join / Login > 12th > Maths > Relations and Functions > Composition of Functions > If g(x) = x^2 x 1 and ( maths If g (x) = x 2 x − 1 and (g o f) (x) = 4 x 2 − 1 0 x 5, then f (4 5 ) is equal to A 2 3 B 2 1 C − 2 3 D − 2 1 Hard AnswerI assume you know how to graph For each value of x the point on f (x) = x^2 4 is 4 units below the point with the same x value on g (x) = x^2 so take the graph of g (x) and move it down 4 units to obtain the graph of f (x) I'm confused by second part of your question IIf f(x) = 2x^3 3x^2 4x 1 and g(x) =3
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If f(g(x))=ln(x^2+4)
If f(g(x))=ln(x^2+4)-2 Why is there a "break" in the line at x=2?(2\times1) (3\times1) (4\times1) (5\times1) (6\times1) (7\times1) \mathrm{Radians} \mathrm{Degrees} \square!
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This is a composite function Concept For such a function, ie g(f(x)), perform inner, and then outer This means evaluate f(x) first The value will be known as value V Then perform g(V) Essentially, g(f(x))= g(V), where f(x)= V where x and VWhy is the graph a line without a vertical asymptote at x=2?Given f(x) = 2x 3 and g(x) = –x 2 5, find (g o g)(1) (g o g)(1) = g(g(1)) = g(–( ) 2 5) setting up to insert the original input = g(–(1) 2 5) = g(–1 5) = g(4) = –( ) 2 5 setting up to insert the new input = –(4) 2 5 = –16 5 = –11 In each of these cases, I wrote out the steps carefully, using parentheses to indicate where my input was going with respect
· If f(x) = 2x 3 and f(g(x)) = 8x – 1, which of the following equals g(x)?1)Graph f(x)=(x^2 4)/(x 2) using a graphing calculator Using a standard window with the trace feature, trace the graph to x=2 What happens?(a) f ( x) = 6 , g ) =3 (b) f(x 2, g(x) = 4x (c) f(x) = 2x, g(x) = x2 (d) f(x) = x4, g(x) = ex (e) f(x) = x1, g(x) = x2 4 (a) domain is all real x, range is −1 ≤ y ≤ 1 (b) domain is all real x, range is y ≥ 1 (c) domain is x < 0, range is all real y (d) domain is x 6= 0 , range is −2 ≤ y ≤ 2 wwwmathcentreacuk 5 c mathcentre 09 Title mcTYcomposite091dvi Created
Since (x1)(x4) = 0 for x=1 and x=4 , function f is continuous for all values of x EXCEPT x=1 and x=4 Click HERE to return to the list of problems SOLUTION 7 First describe function g using functional composition Let f(x) = x 1/3, , and k(x) = x 5 Function k is continuous for all values of x since it is a polynomial, and functions f and h are wellknown to be continuous for allX (3x ) View solution steps Solution Steps F ( x ) = 3 x ^ { 2 } 5 x ( 4 ) F ( x) = 3 x 2 − 5 x ( − 4) Multiply 5 and 4 to get Multiply 5 and − 4 to get − 2 0 3x^ {2}\left (x\right) 3 x 2 − ( − 2 0 x) · In order to find what value (x) makes f (x) undefined, we must set the denominator equal to 0, and then solve for x f (x)=3/ (x2);
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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 knowledge and capabilities to the broadest possible/12/16 · The answers are f(g(x))=x^21 and g(f(x))=(x3)^24 This is a composition of functions f(x)=x3 g(x)=x^24 f(g(x))=f(x^24)=x^243=x^21 The range is f(g(x)) in 1, oo g(f(x))=g(x3)=(x3)^24 The range is g(f(x)) in 4, ooPrecalculus Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Earth Science Environmental ScienceGiven f (x) = 2x, g(x) = x 4, and h(x) = 5 – x 3, find (f g)(2), (h – g)(2), (f × h)(2), and (h / g)(2) This exercise differs from the previous one in that I not only have to do the operations with the functions, but I also have to evaluate at a particular xvalue To find the answers, I can either work symbolically (like in the previous example) and then evaluate, or else I can find
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MATH COMPOSITION FUNCTIONS KSU Deflnition † Composition function Given two functions f and g, the composition function f –g is deflned by (f –g)(x) = f(g(x))In other words, given a number x, we flrst apply g to it and then we apply f to the result Here, f is the outside function and g is the inside function Important Properties † Let c be any constantFor instance, when D is applied to the square function, x ↦ x 2, D outputs the doubling function x ↦ 2x, which we named f(x) This output function can then be evaluated to get f(1) = 2, f(2) = 4, and so on Higher derivatives Let f be a differentiable function, and let f ′ be its derivativeA composite function is a function which is made by combining two or more than two functions For example, if f(x) f ( x) and g(x) g ( x) are two functions, then we can define two composite
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· If #f(x) = x^24# and #g# is a differentiable function of #x#, what is the derivative of #f(g(x))#?Given the function f (xEthanorford ethanorford Mathematics High School answered F(x) = x 2 g(x) = x – 4 (f g)(x) = 2 See answers riqueeybarra riqueeybarra (x2)*(x4) x^24x2x8 x^22x8 keyalaboyd keyalaboyd x^2 2x 8 is the answer New questions in Mathematics A squirrel moved 0 meters in 7,0
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The Algebra of Functions Like terms, functions may be combined by addition, subtraction, multiplication or division Example 1 Given f ( x ) = 2x 1 and g ( x ) = x2 2x – 1 find ( f g ) ( x ) and ( f g ) ( 2 ) · Find (f∘g) (−4) for the following functions f (x)=4x−2 and 1 Use the Intermediate Value Theorem to show that the 1 Use the Intermediate Value Theorem to show that the equation cosx = x^2 has at least one solution you do not need to find the solution2 If 4x 9 is read more% \mathrm{clear} \arcsin \sin \sqrt{\square} 7 8 9 \div \arccos \cos \ln 4 5 6 \times \arctan \tan \log 1 2 3\pi e x^{\square} 0 \bold{=} Go Related » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep
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