Given #f(x)=3x-1, g(x)=x^2-7, h(x)=x^4#, how do you find #(fog)(3)#?

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Answer 1 · 2017-09-13T14:54:08

Evaluate #g(x)# at #x = 3#, then evaluate #f(x)# at the value that you obtained from #g(x)#.

Evaluate #g(x)# and #x = 3#:

#g(3) = 3^2-7#

#g(3) = 2#

Evaluate #f(x)# at #x = 2#:

#f(2) = 3(2)-1#

#f(2) = 5#

#:.#

#(f o g)(3) = 5#