Answer:
f(x) + g(x) = 6x^2 + 28x + 36
Step-by-step explanation:
Thirty eight
You begin to solve this by writing it like this [just as you have it].
f(x) = x^2 + 5 Now put g(x) where you see x
f(g(x)) = [g(x)]^2 + 5 Now substitute the right side of g(x) wherever you see g(x)
f(x - 4) = [x - 4]^2 + 5 Expand the brackets
f(x- 4) = x^2 - 8x + 16 + 5
f(x - 4) = x^2 - 8x + 21
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Thirty Nine
f(x) = (x + 4)^2
g(x) = 5(x + 2)^2
Expand f(x)
f(x) = x^2 + 8x + 16
Expand g(x)
- g(x) = 5(x^2 + 4x + 4) Remove the brackets
- g(x) = 5*x^2 + 5*4x + 5*4 Perform the multiplication
- g(x) = 5x^2 + 20x + 20
f(x) + g(x) = x^2 + 8x + 16 + 5x^2 + 20x + 20
f(x) + g(x) = 6x^2 + 28x + 36
