Question

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point)

Answer 1

f(g(x))= 2(g(x))+5 = 2(x-7)+5 = 2x-14+5 = 2x-9
when x= -3
f(g(-3))= 2(-3)-9 = -6-9 = -15

Answer 2

-15

Explanation:

Given :
`f(x) = 2x + 5`

`g(x) = x-7`

To Find: solve for f(g(x)) when x = −3

Solution:

`f(x) = 2x + 5`

`g(x) = x-7`

`f(g(x)) = 2(x-7)+ 5=2x-14+5=2x-9` ---1

Now we are supposed to find f(g(x)) when x = −3

So, substitute x = -3 in 1

`f(g(-3)) =2(-3)-9`

`f(g(-3)) =-6-9`

`f(g(-3)) =-15`

Hence f(g(x)) when x = −3 is -15.