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

Question

asked Jun 16, 2022 144k views

1 Answer

Elham · Answer 1 · 2022-06-22T06:26:09+0000

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:

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