If f (x) = x^2-7 and h (x) = 7x-5, then f (h (2)) =

We are given 3 equations. Using these equations we can find f (h (2)).

h (x) = 7x-5

h (2) = 7 (2) - 5

h (2) = 14-5

h (2) = 9

f (x) = x^2-7

f (h (2)) = (7x-5) ^2-7

we know the answer for h (2) by now, so we can substitute for that.

f (9) = 9^2-7

f (9) = 81-7

f (9) = 74

so f (h (2)) = 74