Question

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

Write the rule for h(f(x)).
h(f(x)) = 2x - 11
o h(f(x)) = 2x - 7
ch(f(x)) = 2x - 4
h(f(x)) = 3x - 4

Answer 1

h(f(x)) = 2x -11

Explanation:

h(f(x)) = h(x -7) = 2(x -7) +3 . . . . . use f(x) as the argument for function h

= 2x -14 +3 . . . . . . . eliminate parentheses; next, combine terms

h(f(x)) = 2x -11