1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)) 5 8 S(S(1)) 7 g(g(2)) 7 1 8 4 8(8(6)) 3

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

A:

Q: If f(3) = 5, f(5) = 3, then interpolation function is A. f(x) = x2 + 2 B. f(x) = 8+ x C. f(x) = 8 –…

A:

Q: 3. Let g(x) = x2 + 4x – 1. Evaluate each of the following: (a) g(-4) (b) g(8) (c) g(-1) (d) g(1) 4.…

A: By putting values of x in given all function like x=-4, 8,-1, 1,    '

Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

A:

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

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

A:

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: · Let f(x) = 8x? and g(x) a. Find (f+ g)(x). b. Find (f – g)(x). c. Find (f g)(x). d. Find (스) (x).…

A:

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Which of the following would be the leading coefficient of f(x)=6-x+7x² ? (1) -1 (3) 7 (2) 6 (4) -7

A: The definition of the leading coefficient helps to find the leading coefficient in the given…

Q: a. Evaluate g(6) b. Evaluate If f(x) = 3 - x and g(x) = 2x² + x + 5, then

A:

Q: 8. Suppose that the function f(x) is defined for all If f(x) f(x) = f(x + 25) for x E R, what is the…

A: The function fx is defined for all real numbers.  If f(x) = x for x∈-7,7 and fx = fx+25. Then, we…

Q: Evaluate: g(f(-7)) y = f(x) y = g(x) 10 10 9. 8 6. 8. 7. 6. 6. 5. 4. 4. 3. 3 2. -10-9-8-7-6 -5 -4 -3…

A:

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2…

A:

Q: 1. Given f(x) = 2- 3x and g(x) = 2x + 5x – 1, find the following values. a) f(-3) b) f(0) c) -2g(3)…

A: This question is about finding values of functions at a given point  .

Q: 2. For the given functions f and g, each of the following: (f + g)(x), (f – g)(x), (f · g)(x), and…

A: Given, fx =9x-12x+5  gx = 3x+42x+5  We have to find the value of  f+gx,  f-gx,  f.gx, fgx,     and…

Q: If f(x) = x + 7 & g(x) = 2x – 3, what is f(x) – g(x)? a. -x + 4 b. 10 - x C. X-4 d. 10 + 3x

A: simplify

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…

Q: Suppose f is a function that satisfies f(2) = 20 and f(2n) +nf(2) = f(2n + 2) for all positive…

A: It is given that, f(2)=20      ...(1) and  f(2n)+nf(2)=f(2n+2)     ...(2). Here, 'n' must be a…

Q: If f is one-to-one and f(10) = 3, then f-'(3) = 1 and (f(10)) ||

A: We have to find f-13 and f10-1 where f is one one and f10=3 Since f is one one hence its inverse…

Q: Evaluate: g(f(2)) y = f(x) y = g(x) 10 10 9. 9 8 4 3 1 -1 -10-9-8-7-6-5-4 -3-2 -1 1 23 4 5 6 7 8 9…

A: Given that: Graph of g(x) and f(x) To calculate: g(f(2))