Respuesta :

sarahwink
set the two functions equal to each other and solve for x

x^2-6x+8=x-2
-x. -8 -x-8
x^2-7x=-10
x(x-7)=-10
x=-10 x-7=-10
+7 +7
x=-10 & x=-3

A function assigns the values. The value of x for which f(x) = g(x) is 2 and 5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=x² - 6x + 8 and g(x) = x - 2. Therefore, the value of  f(x) = g(x),

f(x) = g(x)

x² - 6x + 8 = x - 2

x² - 6x - x + 8 + 2 = 0

x² - 7x + 10 = 0

x² -5x - 2x + 10 = 0

x(x-5) -2(x-5) = 0

(x-2)(x-5)=0

x = 2, 5

Hence, the value of x for which f(x) = g(x) is 2 and 5.

Learn more about Function:

https://brainly.com/question/5245372

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