Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
Answer:
9x+18
Step-by-step explanation:
[tex]f^{-1}[/tex] means they want you to find the inverse function of y=1/9 x-2.
The inverse is just a swapping of x and y.
People tend to remake the y part the subject again because they want to write it as a function.
Let's start:
[tex]y=\frac{1}{9}x-2[/tex]
Swap x and y:
[tex]x=\frac{1}{9}y-2[/tex]
Now it's time to solve for y:
Add 2 on both sides:
[tex]x+2=\frac{1}{9}y[/tex]
Multiply both sides by 9:
[tex]9(x+2)=y[/tex]
Distribute:
[tex]9x+18=y[/tex]
So The inverse function is:
[tex]f^{-1}(x)=9x+18[/tex]
