Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below. Part A: Find (f + g)(x). Sho

Question

3 years ago

8

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below. Part A: Find (f + g)(x). Sho

w your work. (3 points) Part B: Find (f ⋅ g)(x). Show your work. (3 points) Part C: Find f[g(x)]. Show your work. (4 points)

Mathematics

1 answer:

Bingel [31] · Answer 1 · 2022-03-03T08:48:15+03:00

Bingel [31]3 years ago

7 0

Part a)
16 x - 10
f + g = 5x − 12 + 11x + 2= 16x -10
Part b)
f * g = (5x − 12)(11x + 2) = 55x^2 - 132x + 10x - 24 = 55 x^2 - 122 x - 24
<span>Part c) </span>
<span>f(g(x)) = f( 11x + 2) = 5(11x +2) - 12 = 55x + 10 - 12 = 55x-2

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