Composing Functions
Answer:
[tex]g(f(x)) = 7x -2[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = 14x +2[/tex]
[tex]g(x) = \frac{1}{2}x -3\\[/tex]
[tex]g(f(x)) = \frac{1}{2}(f(x)) -3 \\ g(f(x)) = \frac{1}{2}(14x +2) -3 \\ g(f(x)) = (\frac{1}{2})14x+(\frac{1}{2})2 -3 \\ g(f(x)) = 7x +1 -3 \\ g(f(x)) = 7x -2[/tex]
