Question

Find (fog)(x).

f(x) = -5x + 9
g(x) = 3x - 1
Write your answer as a polynomial in simplest form.
(fog)(x) =​

Answer 1

`\large\boxed{(f\circ g)(x)=-15x+14}`

Explanation:

`f(x)=-5x+9\\\\g(x)=3x-1\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)-\text{put}\ x=g(x)\ \text{in}\ f(x):\\\\(f\circ g)(x)=-5(g(x))+9=-5(3x-1)+9\qquad\text{use the distributive property}\\\\=(-5)(3x)+(-5)(-1)+9=-15x+5+9=-15x+14`