Preform the indicated operation

Question

f(a)=a²-2

g(a)=a+1

Find (f of g)(a)

 

Answer 1

you are being asked to find (fog)(a) which is f(g(a)).

 

First, evaluate g(a) = a+1

Second, evaluate f((a+1) = (a+1)² - 2.

 

I will leave this to you to simplify, trusting that the square of the binomial (a+1) will three terms.