F(x)=2x+5,g(x)=x^2-3,h(x)=7-x

Question

compute (f-h)(4)(f-h)(4)=f(4)-h(4) evalution each separately and subtract

Answer 1

f(x) = 2x + 5, g(x) = x² - 3, h(x) = 7 - x

Take f(x) = 2x + 5

Substitute x = 4 in the f(x).

f(4) = 2(4) + 5 = 8 + 5 = 13.

Take h(x) = 7 - x

Substitute x = 4 in the h(x).3

h(4) = 7 - 4 = 3.

Let f - h = f(x) - h(x) = (2x + 5) - (7 - x) = 2x + 5 - 7 + x = 3x - 2.

(f - h)(4) = 3(4) - 2 = 12 - 2 = 10.

(f - h)(4)(f - h)(4) = (10)(10) = 100.

f(4) - h(4) = 13 - 3 = 10.

Therefore (f - h)(4) = f(4) - h(4)

But (f - h)(4)(f - h)(4) not equal to f(4) - h(4).