Question

Conjecture (fog)(x), if f(x)=13x-9 and g(x)=9x+13

Answer 1

(fog)(x) = 117x +160

Explanation:

We have given :

f(x)=13x-9

g(x)=9x+13

We have to find (fog)(x)

This means that (fog)(x) = f(g(x))

(fog)(x) = f(g(x)) = 13(9x+13)-9

(fog)(x) = f(g(x)) = 117x +169-9

(fog)(x) = 117x +160 is the answer.

Answer 2

(fog)(x) = 117x + 160

Explanation:

∵ f(x) = 13x - 9

∵ g(x) = 9x + 13

∵ (fog)(x) means ⇒ f(g(x)) ⇒ g(x) is the value of x in of f(x)

∴ (fog)(x) = 13(9x + 13) - 9 = 117x + 169 - 9

∴ (fog)(x) = 117x + 160