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?

x = 0 and x = 4

To find intersection equate them.

x² - 2x - 4 = 2x - 4

subtract 2x - 4 from both sides

x² - 4x = 0 → (take out common factor x)

x(x - 4 ) = 0 ⇒ x = 0 , x = 4

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Step-by-step explanation:

We have been given two functions. and . We are asked to find the point, where both functions intersect.

To find the intersection point of both graphs, we will equate both equations as:

Combine like terms:

Now, we will factor out x as:

Using zero product property, we will get:

Therefore, the both graphs intersect at .

step-by-step explanation:

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step-by-step