3. Find and simplify a. f(x)=3x² +5x b. f(x)=2x-x² K f(a+h)-f(a) h for each of the following functions.

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

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: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c.…

A: Given function are fx=x+3 and gx=x2-3x+9. To find: (a). fgx   (b).   fg-2     (c). fg0 Solution: We…

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: 12. Solve for x if f(x)=16

A: Given f(x)=-2x+4

Q: For the function f(x) = - 5x² + x + 6, evaluate and fully simplify each of the following. f(x + h) =…

A:

Q: Find f( - 9) if f(x) = 2x2 + 3x + 4. f( - 9) = (Simplify your answer. Type an integer or a…

A: Substitution in quadratic expression

Q: Find and simplify f(a + h) – f(a) (h + 0) for the following function. f(x) = 4x2 - 14x + 5

A: Given function: Replace x by a and a+h:

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: Where is the function y=√x−5 increasing

A: Given:  y=x-5

Q: Determine h(x + 4) for the following function. Answer h(x) h(x + 4) = 4x x²3x5

A:

Q: Find and simplify f(a + h) − f(a) h,    (h ≠ 0) for the following function. f(x) = 6x2 − 4x + 9

A: Let's find.

Q: Find f(-7) if (x)=2x+8

A: Given  f(x)= 2x+8  we use substitution method to find value of f(x) at x= -7

Q: 1. Which pair of functions is equivalent? а. fx) -- 8x* - 5х — 3 g(x) = 8x + 5x + 3 c. Ax) = (-óx? +…

A: Explanation of the solution is given below...

Q: Determine what x = 5 is (max/min/neither) of the function f (x) = 2x2 − 3x + 9

A: Given f (x) = 2x2 − 3x + 9

Q: For f(x) = 3-x and g(x)= 2x +X + 9, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: