Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. (1 point)
(a) −14
(b) −7
(c) 7
(d) 11

D

Step-by-step explanation:

First you need to find which function represents f(g(x)) and then you replace each x in this new function by 2.

f(4), for example, is f when x = 4, right? So f(4) = -4+4 = 0

So, f(g(x)) will represent f when x = g(x). x = g(x) when x = -2x-3

So, f(g(x)) = f(-2x-3) = -(-2x-3) + 4

                               = -(-2x)-(-3)+4

                              = 2x + 3 + 4

                              = 2x + 7

So f(g(x)) = 2x + 7.

Now when x = 2, f(g(x)) = 2*2 + 4 = 11, which is option D.

2

step-by-step explanation: