Composite and Linear Functions Evaluation

The video tutorial explains how to find composite function values using two functions, f(x) = 7x - 2 and g(x) = -2x^2 + 4x + 7. It demonstrates the process of calculating f(g(-2)) and g(f(1)) by first determining the inner function values and then using them as inputs for the outer functions. The tutorial provides a detailed step-by-step approach to simplify and solve these composite functions.

What is the expression for f(x) as introduced in the video?

• f(x) = 7x - 2

• f(x) = 7x + 2

• f(x) = -7x + 2

• f(x) = 2x - 7

Which notation is used to represent the composite function f(g(x))?

• f(x) * g(x)

• g(f(x))

• f(x) + g(x)

• f(g(x))

What is the value of g(-2) as calculated in the video?

• 7

• -7

• 9

• -9

What is the final result of f(g(-2))?

• -65

• 65

• -63

• 63

What is the first step in finding g(f(1))?

• Calculate f(-1)

• Calculate g(1)

• Calculate f(1)

• Calculate g(-1)

What is the value of f(1) as determined in the video?

• 7

• 5

• 2

• 1

What is the expression for g(x) as introduced in the video?

• g(x) = -2x^2 - 4x + 7

• g(x) = -2x^2 + 4x + 7

• g(x) = 2x^2 - 4x + 7

• g(x) = 2x^2 + 4x - 7

What is the value of g(5) as calculated in the video?

• 25

• -25

• 23

• -23

What is the final result of g(f(1))?

• -23

• 23

• -25

• 25