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

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the function:

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

Find f(1) - f(-1)

Solution:

Solve first for f(1) and f(-1) separately. To do substitute 1 or -1 to the value of x of the function f(x).

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

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

Equate the two values in the equation f(1) - f(-1).

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

f(1) - f(-1) = 8

Final answer:

f(1) - f(-1) = 8