How do you find f(g(3)) given f(x)=2x1 and g(x)=3x and h(x)=x2+1?

1 Answer
Oct 8, 2017

See a solution process below:

Explanation:

First, find g(3) by substituting 3 for each occurrence of x in g(x):

g(x)=3x becomes:

g(3)=3×3

g(3)=9

Therefore: f(g(3))=f(9)

Because g(3)=9 then f(g(-3)) = f(-9)#

To find f(9) we can substitute 9 for each occurrence of x in f(x)

f(x)=2x1 becomes:

f(9)=(2×9)1

f(9)=181

f(9)=19

f(g(3))=19