In Problems 13-22, for the given functions f and g, find: (a) (f°g) (4) (b) (gºf) (2) (c) (fof) (1) (d) (g°g) (0) 13. f(x) = 2x; g(x) = 3x² + 1 14. f(x) = 3x + 2; g(x) = 2r? - 1 %3D 1 15. f(x) = 4x? – 3; g(x) = 3 - 2 16. f(x) = 2x?; g(x) = 1 - 3x? 17. f(x) = Vx; g (x) = 2x 18. f(x) = Vx + 1; g(x) = 3x 1 3 19. f(x) = |x|: g (x) 20. f(x) = |x – 2|; 8(x) %3D x? +1 x + 2 3 8(x) = Vĩ 2 21. f(x) 22. f(x) = x2; g(x) %3D * + 1 x + 1

Q: If f (x) = x? x, match the following expressions to their values.

A: Given that f(x) = x2 - x. Our aim is match the following expression to their values.

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: Given the following function:  f(x)=(x−1)3(x+2)f(x)=(x−1)3(x+2).  What happens at the zero of x=1x=1

A: We have given function fx=x-13x+2.

Q: If f(x) = V2x and (fg)(x) = 2x, find g(x).

A: A function is a relationship between set of input values and output values. The given fx is a…

Q: If f(x) and g(x) are two functions defined by f(x) = √(x + 1) g(x) = | x - 1 |, then what is the…

A: To find f(g(9))

Q: For problem 1-2, use f (x) = x² + 1 and g(x) = Vx – 1 to determine the indicated function. State the…

A:

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

A:

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: If f (x) = x3, find f (x + h) - f (x) h , where h ∙ 0

A: A function is a relation between one variable and the other variable. The input of the function is…

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

A:

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

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 g(2)=5 and f(5)=22 then (f o g)(2)=

A:

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Find the fixed points of the following functions: (a)         f(z) = 4z3   (b)           g(z) =…

A:

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

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Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: If f(x) = x' + 2x (a) fog I and g(x) 2x 3, find each of the following functions (b) g f (c) g g-9

A:

Q: 1. Iff(x) = -2x+1, evaluate the following for x: (A) f(x)=1 (B) f(x) = -5 (C) f(x)=8

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Q: If f(x) = (x – 3)² +1, what is f(6) ? O -2 О 10 О 16

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Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: If f ( x ) = 120 x − 16, what is the value of ( f ∘ f ) ( 19 ) ?

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Q: Find the indicated outputs for f(x) = 4x² - 5x. f(0) = f(-1)= f(2)= h

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Q: If f(x) = /3x and g(x)= /3 , then (f.g)(x) is NONE XV3

A: