Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find (1) and s'(4). y 11 10 9 8 7 6 5 3 2 14 (a) (1) = (b) s'(4) = (2.4) 12 g 3 4 (6, 10) (6,9) 567 8 9 10 11 X

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: E. Find (f • g)(x), (g• f)(x) and (f • g)(2) 1. f(x) = 2x g(x) = x +5

A: The functions are given by fx = 2xgx = x+5 To evaluate: The expressions of f∘gx , g∘fx and the value…

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Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

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Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Let r(t) = the number of road-runners in year t, and let c(t) the number of coyotes in year t. Then…

A: The objective of the question is to find the values of r(1) and c(1) for different initial…

Q: 3. Find f(x) and f (x) if f(x) = lnx + 2cos³ x. %3D

A: First use sum/difference rule of differentiation f±g=f'±g' then use the following formulae: dln…

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: Use the table to determine Df(g(x))) at x = 3. |1 2 3 4 f(x) 1 f(x) |3 -5 1 4 4 1 3 4 3 2 g(x) 2…

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Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

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Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

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Q: 29 x) = [42] (4), x(t) x(o)= [?]

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Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: Find F(0) if F (t) == L-! 16 82 (s+4) O 16 O 4 O 2

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Q: 2. Suppose that f(4) = 2, g(4) = 5, f/(4) = 6, and g/(4) = -3. Find h/(4). a. h(x) = f(x)g(x) b.…

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Q: a) f(t) = esec(20) + In(2t² + 5)

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