Answer:
[tex]f(g(x)) = -10x -13[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 7[/tex]
[tex]g(x) = -2x - 4[/tex]
Required
Find f(g(x))
This is calculated as:
[tex]f(x) = 5x + 7[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 5(f(g(x)) + 7[/tex]
Substitute [tex]g(x) = -2x - 4[/tex]
[tex]f(g(x)) = 5(-2x - 4) + 7[/tex]
Open bracket
[tex]f(g(x)) = -10x - 20 + 7[/tex]
[tex]f(g(x)) = -10x -13[/tex]
