144k views
21 votes
Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)

User Sumukh
by
3.2k points

1 Answer

6 votes

Answer:


(f\circ g)(x)=6x+14

Explanation:

We are given the two functions:


f(x)=3x-4\text{ and } g(x)=2x+6

And we want to find:


(f\circ g)(x)

This is equivalent to:


=f(g(x))

Then by substitution:


=f(2x+6)=3(2x+6)-4

Evaluate:


=f(g(x))=6x+18-4=6x+14

Therefore:


(f\circ g)(x)=6x+14

User Elham
by
3.3k points