Question

1. What is the inverse of the equation y = 5x + 1?

A: y = x - 1 / 5
B: y = x + 1 / 5
C: x + 5y = 1
D: none of the above

2. What is the value of f(5) for the function f(x) = 4x - 3? (Type only the value of your final answer, no variables.)

3. What is the value of g[f(3)] for the functions f(x) = 2x + 3 and g(x) = x + 1? (Type only the value of your final answer, no variables)

4. Change the domain values {-2, 0, 2}, find the range values or the function y = 3x + 2
A: {-8, -2, 4}
B: {8, -2, 4}
C: {-4, 2, 8}
D: none of the above

5.
a) What is the slope of the line through the points (5, 2) and (5, -3)?
b) Describe the line through these points

Answer 1

To find the inverse of the equation y = 5x + 1, switch the x and y variables and solve for y to get the inverse equation y = (x - 1) / 5.

Step-by-step explanation:

To find the inverse of the equation y = 5x + 1, we need to switch the x and y variables and solve for y.

Step 1: Replace y with x and x with y in the equation. The equation becomes x = 5y + 1.

Step 2: Solve for y. Subtract 1 from both sides of the equation to isolate the y term. x - 1 = 5y.

Step 3: Divide both sides of the equation by 5 to solve for y. The inverse equation is y = (x - 1) / 5.

Therefore, the inverse equation of y = 5x + 1 is y = (x - 1) / 5, which is option A.