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If f(x)=2x−2 and g(x)=x2−8x+19, then f(x)=g(x) for what values of x?




x=−1 and x=−4


x=−3 and x=−7


x=1 and x=4


x=3 and x=7

Respuesta :

Answer:

D)     x =3  and x =7

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x -2

                       g(x) = x² - 8x +19

Given that f(x) = g(x)

       ⇒  2x -2 = x² - 8x +19

      ⇒ x² - 8x +19 -2x +2 =0

   ⇒   x² -10x +21 =0

Step(ii):-

The factors are  x² -10x +21 =0

  ⇒  x² - 7x - 3x +21 =0

 ⇒ x( x-7) -3( x-7) =0

⇒ (x-3)(x-7) =0

    x =3  and x =7

Answer:

d: x=3 and x=7

Step-by-step explanation: