Question

F(x) = = 3x + 10
g(x) = x - 2
Find f(g(5))
9
19
23
-10

Answer 1

Given : f(x) = 3x + 10 and g(x) = x - 2

To Find : f(g(5))

`:\implies\sf\:g(x) = x-2`

`:\implies\sf\:g(5) = 5-2`

`:\implies\bf\:g(5) = 3`

Now,

`:\implies\sf\:f(x)=3x+10`

`:\implies\sf\:f(g(5))=3x+10`

`:\implies\sf\:f(3)=3(3)+10`

`:\implies\sf\:f(3)=9+10`

`:\implies\boxed{\bf{\blue{f(3)=19}}}`