Find the value of x when 2 functions are set equal to each other

The video tutorial explains how to find the value of X when two functions, F(X) and G(X), are equal. It begins by setting up the equation F(X) = G(X) and simplifying it. The tutorial then demonstrates algebraic manipulation to solve the equation, including removing square roots and factoring. Finally, it identifies the solutions for X, which are 0 and 3, by factoring the equation into linear factors.

What is the main objective when F(x) equals G(x)?

• To calculate the derivative of G(x)

• To determine the maximum value of F(x)

• To find the value of X where F(x) and G(x) are equal

• To find the intersection of F(x) and the x-axis

What is the first step in solving the equation F(x) = G(x)?

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by x

How do you eliminate the square root in the equation?

• Take the square root of both sides

• Square both sides

• Multiply both sides by the square root

• Add the square root to both sides

What is the factored form of the equation 0 = x^2 - 3x?

• x(x + 3)

• x(x - 3)

• (x + 3)(x - 3)

• (x - 1)(x - 3)

What are the solutions for X when F(x) = G(x)?

• X = 1 and X = 3

• X = 3 and X = 4

• X = 0 and X = 1

• X = 0 and X = 3