Evaluating the Composition of Two Functions, Linear and Rational

The video tutorial explains how to evaluate the function G of 1, which is derived from G of X = X/5. It then demonstrates how to use this result in the function F of X = -3X + 2. The tutorial covers operations involving fractions, including multiplication and addition with whole numbers, emphasizing the need for common denominators. The session concludes with a summary of fraction operations, reinforcing the concepts taught.

What is the result of evaluating G(1) if G(x) = x/5?

• 5

• 1/5

• 1/2

• 0

If F(x) = -3x + 2, what is F(G(1)) when G(1) = 1/5?

• -3/5 + 3

• -3/5 + 1

• -3/5 + 2

• -3/5 + 0

How do you multiply a whole number by a fraction?

• Add the whole number to the fraction

• Multiply the whole number by the fraction's denominator

• Divide the whole number by the fraction

• Rewrite the whole number as a fraction and multiply numerators and denominators

What is the result of adding -3/5 and 2?

• -7/5

• 7/5

• 0

• 5/5

Why is it necessary to have common denominators when adding fractions to whole numbers?

• To simplify the fraction

• To ensure the result is a whole number

• To make the calculation faster

• To accurately combine the values