Question

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

Answer 1

Answer:

-15

Step-by-step 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.

Answer 2

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