Answer:
The values of x are 0 and 4
Step-by-step explanation:
we have
[tex]f(x)=x^{2}-2x-4[/tex] ------> equation A
[tex]g(x)=2x-4[/tex] ----> equation B
To find the values of x when f(x) and g(x) intersect
equate f(x) and g(x)
[tex]f(x)=g(x)[/tex]
[tex]x^{2}-2x-4=2x-4[/tex]
[tex]x^{2}-2x-4-2x+4=0[/tex]
[tex]x^{2}-4x=0[/tex]
Factor x
[tex]x(x-4)=0[/tex]
The solutions are
x=0 and x=4
