Question
find the inverse of the function then describe if the inverse is or is not a function.
y=9x-9
y=9x-9
Answers
GPT 3.5
To find the inverse of the function, we need to swap the x and y variables and solve for y.
Swapping the variables, we get:
x = 9y - 9
We can then solve for y:
x + 9 = 9y
(x + 9)/9 = y
Therefore, the inverse of the function is:
y = (x + 9)/9
To determine if the inverse is a function, we need to check if every value of x has a unique corresponding value of y. Since the inverse is given by y = (x + 9)/9, for any given value of x, we will always have a unique value of y. Thus, the inverse is a function.
Swapping the variables, we get:
x = 9y - 9
We can then solve for y:
x + 9 = 9y
(x + 9)/9 = y
Therefore, the inverse of the function is:
y = (x + 9)/9
To determine if the inverse is a function, we need to check if every value of x has a unique corresponding value of y. Since the inverse is given by y = (x + 9)/9, for any given value of x, we will always have a unique value of y. Thus, the inverse is a function.