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.

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

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: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: Find f(1) + f(2) + f(3) + ... + f(60) if f(x) = 3x - 7

A: The sum of first n natural numbers is n(n+1)/2

Q: x2 + (12 – 5x) | a. Evaluate f(6) given that f(x) = 8x f(6) = Preview b. Evaluate g(x + 2) given…

A:

Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: If f(x) = 5x² - x + 2, find the following. f(3) = = 44 f(-3) = -40 f(a) = f(-a)= f(a + 1) = 2f(a) =…

A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

A:

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: If f(x) = x² – 5 and g(x) = 6x, then g(f(x)) is equal to %3D A 6x³ – 30x © 36x? – 5 6x² – 30 D x2 +…

A: Given:     To determine:

Q: . For f(x) = 5x - 8 and g(x) = x2 - 3x + 4, find (g - f)(x)

A: given,         f(x)= 5x - 8gx=x2-3x+4

Q: Find f(1)+f(2)+f(3)+...+f(40) if f(x) = 3x-7

A:

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

Q: If f(x) = 3x – 5 and g(x) = x- 9, which expression is equivalent to (fo g)(x)? %3D O 3x 14 O 3x2 -…

A:

Q: f(x) = 4x² – 2, g(x) = 4 – 3x, and h(x) = f(g(x)). Find h(3) a. -170 b. -102 C. -5 d. 98

A:

Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…

Q: x² + (13 – 3x) a. Evaluate f(5) given that f(x) : 8x f(5) = Preview b. Evaluate g(x + 2) given that…

A:

Q: Consider g(x) = -x² - 4x + 12. Find and simplify g(x+2) - g(x-2). O a. -8x + 16 O b.-20 O c. -2x² -…

A: Topic- functions we are given g(x)=-x2-4x+12we need to find g(x+2)-g(x-2) and we know…

Q: f(x) =-2x - 4 if xs2 |4x -9 if x> 2 3.

A:

Q: 3. Given f(x) = 5x+2x-5; g(x) 7x+8; h(x) 4x-10. Find (f-h) (x). A. x +2x+5 B. x -2x +5 C. x+2x-5 D.…

A:

Q: Given f(x) = 3x - 9 and g(x) = 5x – 5. Find (f – g)(x). a) — 2х-14 b) 8x – 14 c) 2x + 4 d) -2x – 4

A: From the functions Subtraction

Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

Q: Given f(x) = 2x² + 1 and g(x) = 6x — 7, find the following: 1. f(g(2)) 2. f(g(x)) 3. f(f(x)) 4.…

A:

Q: If f(x) = 2x2 + 5 and g(x) = -3x, what is f(g(x)? %3D A. 18 +5 B. 18z2 + 5 C. None of the above

A: