Question

Given the functions f(x) = x2 - 2x - 4 and g(x) = 2x - 4, at what values of x do f(x) and g(x) intersect?

Answer 1

The values of x are 0 and 4

Explanation:

we have

`f(x)=x^(2)-2x-4` ------> equation A

`g(x)=2x-4` ----> equation B

To find the values of x when f(x) and g(x) intersect

equate f(x) and g(x)

`f(x)=g(x)`

`x^(2)-2x-4=2x-4`

`x^(2)-2x-4-2x+4=0`

`x^(2)-4x=0`

Factor x

`x(x-4)=0`

The solutions are

x=0 and x=4