Learn How To Evaluate the Composition of Two Linear Functions

The video tutorial explains how to evaluate composite functions, specifically F of H of 8, using two different methods. The first method involves calculating H of 8 and then using that result to find F of H of 8. The second method suggests evaluating the functions directly by substituting values. The tutorial highlights the importance of understanding both approaches to enhance problem-solving skills in mathematics.

What is the value of H(8) when H(x) = x^2 + x - 1?

• 64

• 71

• 72

• 73

How do you calculate F(H(8)) if F(x) = 3 * x and H(8) = 71?

• Multiply 71 by 3

• Subtract 3 from 71

• Add 71 to 3

• Multiply 71 by 2

What is the result of F(H(8)) given F(x) = 3 * x and H(8) = 71?

• 233

• 200

• 213

• 142

Which method is described as quicker for evaluating function compositions?

• Direct substitution and simplification

• Using a calculator

• Guessing the result

• Evaluating each function separately

What is the alternative method for evaluating function compositions discussed in the video?

• Trial and error

• Direct substitution and simplification

• Using a table of values

• Using a graph