Question

Assume f(x)=2x+8 and g(x)=5. What is the value of (f+g)(3).

Assume f(x)= -2x+8 and g(x)=5x. What is the value of (f o g)(3).

Answer 1

I hope this helps you

Answer 2

Q1. The answer is 19.

f(x)=2x+8
g(x)=5
(f + g)(x) = f(x) + g(x)
(f + g)(3) = f(3) + g(x)

f(3) = 2 * 3 + 8 = 6 + 8 = 14
g(3) = 5

(f + g)(3) = f(3) + g(x) = 14 + 5 = 19


Q2. The answer is -22.

f(x)= -2x+8
g(x)=5x

(f o g)(x) = f(g(x))
(f o g)(3) = f(g(3))

g(3) = 5 * 3 = 15
(f o g)(3) = f(g(3)) = f(15) = -2 * 15 + 8 = -30 + 8 = -22