Evaluating Rational Functions

The video tutorial covers three examples of determining inputs and outputs of rational functions. It begins with solving F(x) for given inputs and outputs, demonstrating how to substitute values and solve equations. The next section focuses on G(x), showing how to handle proportions and solve for unknowns. The final section addresses P(T), emphasizing the importance of handling negative signs correctly while solving equations. Each example illustrates different methods to find solutions, providing a comprehensive understanding of rational functions.

What is the value of F(-6) when F(X) = -16/(X - 2)?

• 8

• -8

• 2

• -2

What is the opposite of the numerator in the function F(X) = -16/(X - 2)?

• -(X - 2)

• X - 2

• 16

• -16

If F(X) = 3, what is the value of X in the function F(X) = -16/(X - 2)?

• -10/3

• 3

• 10/3

• -3

What is the least common denominator used to solve 3 = -16/(X - 2)?

• X - 2

• 3

• -16

• 1

What is the result of G(2) for the function G(X) = (13X - 2)/(X + 2)?

• 6

• 5

• 4

• 7

When G(X) = 12, what is the value of X in the function G(X) = (13X - 2)/(X + 2)?

• 24

• 30

• 26

• 28

In the function G(X) = (13X - 2)/(X + 2), what is the result of 13X - 2 when X = 2?

• 30

• 24

• 26

• 28

What is the value of P(4) for the function P(T) = -(T + 70)/(40 - 3T)?

• 37/14

• -14/37

• -37/14

• 14/37

In the function P(T) = -(T + 70)/(40 - 3T), what is the simplified form of -74/28?

• 14/37

• -14/37

• 37/14

• -37/14

If P(T) = 2, what is the value of T in the function P(T) = -(T + 70)/(40 - 3T)?

• 28

• 30

• 32

• 34