Question

Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.

Answer 1

F(g(x)) means function f operates on g. So replace the x in -x+4 by expression for g(x). Simplify that anr then plug in x=2 to get your answer.

Answer 2

So first plug in x in the equation of g
-2(2) -3
-4-3= -7
Now put the -7 in -x +4 in the place of x
-(-7)+4
7+4
11 will be your answer

Answer 3

f(x) =-x +4 -------(1)

g(x) = -2x -3-----(2)

f(g(x) = f(-2x-3) [ from (2) ]

=-(-2x-3) +4 [ from (1) ]

= 2x+3+4
= 2x+7

substitute x= 2 u can get the answer