Given f(x)=4x-3, g(x)=1/x and h(x)= x^2-x, how do you find f [h(4)]?

1 Answer
Oct 9, 2017

f[h(4)]=45

Explanation:

First, you need to find h(4), by subbing in 4 every time you see x.

h(x)= x^2-x

h(4)= 4^2-4

h(4)= 16-4

therefore h(4)=12

Now that we have h(4), we can figure out f[h(4)].

f(x)=4x-3

f[h(4)]=4x-3

f(12)=4(12)-3

f(12)=48-3

therefore f[h(4)]=45