Question

Use the function f (x) = -3x +7 to answer the questions.

A. What is f (0)?

B. What is f (1/3)

C. What is f (-5)

D. What is x when f (x) = -20

Answer 1

The values of the function f(x) = -3x +7 are f(0) = 7, f(1/3) = 6, f(-5) = 22. To find the value of x when f(x) = -20, solve the equation -3x + 7 = -20, which gives x = 9.

Step-by-step explanation:

To use the function f(x) = -3x +7 and answer the questions:

1. What is f(0)?
   
   To find f(0), substitute x with 0 in the function: f(0) = -3(0) + 7 = 7.
2. What is f(1/3)?
   
   To find f(1/3), substitute x with 1/3 in the function: f(1/3) = -3(1/3) + 7 = -1 + 7 = 6.
3. What is f(-5)?
   
   To find f(-5), substitute x with -5: f(-5) = -3(-5) + 7 = 15 + 7 = 22.
4. What is x when f(x) = -20?
   
   To find x, set the function equal to -20 and solve for x: -3x + 7 = -20. Subtracting 7 from both sides gives -3x = -27. Dividing by -3 yields x = 9.