Answer:
[tex](f\circ g)(x)=6x+14[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex]=f(g(x))[/tex]
Then by substitution:
[tex]=f(2x+6)=3(2x+6)-4[/tex]
Evaluate:
[tex]=f(g(x))=6x+18-4=6x+14[/tex]
Therefore:
[tex](f\circ g)(x)=6x+14[/tex]
