Question

Given f(x) = 3x, g(x) = x – 4, and h(x) = x^2, what is (h. (f - g))(2)?

a) 20
b) 10
c) 8
d) 16

Answer 1

The value of (h. (f - g))(2) is 48. None of the answers are correct.

Step-by-step explanation:

Firstly, calculate f-g:

f-g = 3x- x+4

= 2x+4

Substitute the result in h(x):

h(x) = (2x+4)^2

h(x) = 4x^2+16+8x

Substitute x=2,

h(f-g)(2) = 16+16+16

= 48

Hence the value of (h. (f - g))(2) is 48. Therefore, none of the options are correct.