Understanding Function Transformations

The video tutorial explains how to determine the value of F(1) given the function f(x + 3) = 4x + 5. It involves solving for x by setting x + 3 equal to 1, which results in x = -2. The function is then evaluated by substituting x = -2 into the equation, leading to the simplification of the expression to find F(1) = -3.

What is the given function in the problem?

• f(x + 3) = x + 5

• f(x) = x + 3

• f(x + 3) = 4x + 5

• f(x) = 4x + 5

What value of x makes the input x + 3 equal to 1?

• x = 1

• x = 0

• x = -2

• x = 3

How do you express f(1) using the function f(x + 3)?

• f(1) = f(-3)

• f(1) = f(3)

• f(1) = f(-2 + 3)

• f(1) = f(2)

What is the result of substituting x = -2 into the function 4x + 5?

• 3

• -3

• 5

• -5

What is the final value of f(1) after calculation?

• f(1) = 3

• f(1) = -3

• f(1) = -5

• f(1) = 5