SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: Which expression represents f(g(x)) if f(x) = x^2 - 1 and g(x) = x + 3 The answer is:

Algebra ->  Equations -> SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: Which expression represents f(g(x)) if f(x) = x^2 - 1 and g(x) = x + 3 The answer is:      Log On


   



Question 422054: I'm homeschooled and I can't seem to get the steps of this problem.
The question is:
Which expression represents f(g(x)) if f(x) = x^2 - 1 and g(x) = x + 3
The answer is:
x^2 + 6x + 8
I'm not good with functions of g and f, so please show me how to get the answer.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
f(x) = x^2 - 1 and g(x) = x + 3
You most likely are familiar with f(2) = 2^2 - 1.
f(g(x)) works the same way...
only one substitutes (x+3) for x in the f(x) function
f(g(x))= f(x+3) = (x+3)^2 - 1 = x^2 + 6x + 9 -1 = x%5E2+%2B+6x+%2B+8