Question

-

1. Show that the function g(x)- *52 is the inverse of f(x) = 5x+2.
Step 1: The function notation f(x) can be written as a variable in an equation. Is that variable xory?
Write f(x) = 5x + 2 as an equation with the variable you chose above. (2 points)
=
Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points)
Step 3: Find the inverse of g(x)= *52. What does this tell you about the relationship between f(x) =
5x + 2 and g(x)? Show your work. (3 points)
The table shows values that represent a function.

Answer 1

f(x) and g(x) are inverses of each other

Explanation:

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

y = 5x + 2

Swap:

x = 5y + 2

-2 - 2

x - 2 = 5y

÷5 ÷5