Question

F(x) = x + 1, g(x) = 7x + 8 find (fog)(x)

Answer 1

(fog)(x) = 7x + 9.

Explanation:

To find (fog)(x), we need to first find the composition of f and g, which is given by f(g(x)).

So, we substitute g(x) into f(x) and simplify:

f(g(x)) = f(7x + 8)

= (7x + 8) + 1 (using the definition of f(x))

= 7x + 9

Therefore, (fog)(x) = 7x + 9.