(100 points & brainliest!)
Explain how the coordinates (x, y) are used to represent a solution to f(x) = g(x) for any types of functions that you
learned so far. (In other words, how is the ordered pair (x, y) a solution to f(x) = g(x) if f and g represent function
types that you've learned about, such as radical, rational, quadratic, linear, or exponential equations?)

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nonsibi nonsibi · Answer 1 · 2020-02-11T02:27:05+01:00

Okay so this is a very hard conceptual question. We need to prove that (x, y) is the ordered pair when "f(x) = g(x)".

"f(x) = g(x)" represents the point where the lines share a point or basically the intersection point of the two functions.

To prove that the intersection point is (x, y) let's find the x and y values at the point of intersection.

f(x) ----> the x-value is x and the y-value is f(x)

g(x) -----> the x-value is x and the y-value is g(x)

We know that f(x) = g(x) so we know that the y values match too.

We can also substitute a variable y for f(x) or g(x) (It is simply the y-value when x is plugged in for x. I know it sounds a bit confusing.).

So the solution when f(x) = g(x) is (x, y)!!!