Let #g(x) = 2x# and #h(x) = x^2+4#. How do you evaluate #(g*h)(3)#?

1 Answer
Y
May 10, 2017

Use #g(h(3))# for composition of functions.

Explanation:

The notation #(g*h)(x)=g(h(x))# is for a composition of functions, so #(g*h)(3)=g(h(3))#.

Using the given functions, we can write the composition #(g(h(x))# as:
#2(x^2+4)#
Since we know that #x=3# for this particular problem, we can substitute #x=3#:
#2(3^2+4)=26#

Answer: 26

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