Question

Given: f(-x) = x - 7 and h(x) = 2x + 3

Write the rule for f(h(x)).
O
f(h(x)) = 2x - 7
f(h(x)) = 2x - 4
f(h(x)) = 3x - 4
f(h(x)) = 3x - 7

Answer 1

if given f(-x)=x-7, then f(h(x))=-2x-10

or if given f(x)=x-7, then f(h(x))=2x-4

Explanation:

if given f(-x)=x-7

f(-x)=x-7 => f(-(-x))=(-x)-7 =>f(x)= -x-7

f(h(x))=f(2x+3)= -(2x+3)-7 = -2x-3-7 = -2x-10

if given f(x)=x-7

f(h(x))=f(2x+3)=2x+3-7=2x-4