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elizabeth
12-28-2013, 04:44 PM
Composite functions SAT Subject test Math level 2

Which of the following could be h(x) given that f(x)=x^2-3 and h(f(4))=24?

(A) x+2
(B) x+11
(C) x+5
(D) x-3
(E) x-9

Thanks!

Oliver
12-28-2013, 04:44 PM
First we find the value of f(4) which is equal to f(4)=4^2-3=13

Then we check each choice in order to find the one that h(f(4))= h(13)=24

If h(x)= x+11 then h(13)= 13+11=24 .


Therefore the correct answer is (B).

elizabeth
12-28-2013, 04:45 PM
Thank you!:)