Question

Given the function f(x)=-2x+4 and g(x)=2x-8, find the value of x for which f(x)=g(x).

Answer 1

x = 3

Explanation:

-2x + 4 = 2x - 8

-4x = -12

x = 3

Answer 2

f(x) = g(x)

-2x+4 = 2x-8

add 2x to each side

4 = 4x-8

add 8 from each side

12 = 4x

divide by 4

x = 3