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:

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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)   (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 =  

 

 

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