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

(fog) (x) = 117x + 160

Step-by-step 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.

(fog) (x) = 117x + 160

Step-by-step 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