Question

Find (fog)(x).

F(x) = 5x
g(x) = x + 1
Write your answer as a polynomial in simplest form.
g)(x) =​

Answer 1

`\large\boxed{(f\circ g)(x)=5x+5}`

Explanation:

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