Question

Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))

Answer 1

-1

Explanation:

First, we need to work out the left-hand side.

• find g(2) → g(2) = 2 - 1 which is 1
• next, find f(1) → f(1) = 1³ which is 1

Now, we can work out the right hand side.

• find f(-1) → f(-1) = -1³ which is -1
• then, find g(-1) → g(-1) = -1 - 1 = -2

Finally we can work out the full sum: 1 + -2 = -1.

Hope this helps!