Question

If f(x) = x square - 4x + 6, find f(1) - f(-1)

Answer 1

`The~ value ~of~ f(1) - f(-1)~ is~ -8.`

Explanation:

`The~given~function:`

`f(x)=x^2-4x+6`

`We~ need~ to~ find~ the~ value ~of ~f(1) - f(-1).`

`Substitute~ x=1~ in~ the~ given~ function.`

`f(1)=(1)^2-4(1)+6=3`

`Substitute~ x=-1~ in~ the~ given ~function .`

`f(-1)=(-1)^2-4(-1)+6=11`

`The~ of ~f(1) - f(-1)~ is`

`f(1)-f(-1)=3-11=-8`

Therefore, the value of f(1) - f(-1) is -8.

Answer 2

- 8

Explanation:

Evaluate f(1) and f(- 1) by substituting x = 1 and x = - 1 into f(x)

Given

f(x) = x² - 4x + 6, then

f(1) = 1² - 4(1) + 6 = 1 - 4 + 6 = 3

f(- 1) = (- 1)² - 4(- 1) + 6 = 1 + 4 + 6 = 11

Thus

f(1) - f(- 1) = 3 - 11 = - 8