Find f(h(x))

Question

f(x)=x^2+7

h(x)=12/x

Answer 1

Awesome, thanks for posting an example.

 

So in this problem, we want to replace the x in f(x) with h(x).  That would give us f(12/x).  So in the function for f(x), where there is an x, we replace it with (12/x).

 

So, f(h(x)) becomes f(12/x) = (12/x)^2 + 7 = (144/x^2) + 7.

 

I hope that makes sense.