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

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Answer 1 · 2017-10-09T22:59:32

#f[h(4)]=45#

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#