Answer:
[tex] g(3) - h(3) = -16 [/tex]
Step-by-step explanation:
Given:
[tex] g(x) = 2x - 5 [/tex]
[tex] h(x) = 4x + 5 [/tex]
Required:
[tex] g(3) - h(3) [/tex]
SOLUTION:
Substitute x = 3 into [tex] g(x) = 2x - 5 [/tex]
[tex] g(3) = 2(3) - 5 [/tex]
[tex] g(3) = 6 - 5 [/tex]
[tex] g(3) = 1 [/tex]
Substitute x = 3 into [tex] h(x) = 4x + 5 [/tex]
[tex] h(3) = 4(3) + 5 [/tex]
[tex] h(3) = 12 + 5 [/tex]
[tex] h(3) = 17 [/tex]
Therefore:
[tex] g(3) - h(3) = 1 - 17 = -16 [/tex]
