sthefaniamihilli sthefaniamihilli
  • 13-07-2019
  • Mathematics
contestada

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?

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calculista
calculista calculista
  • 23-07-2019

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

Answer Link

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