Answer: [tex]f^{-1}(x)=\frac{x+3}{2}[/tex]
Step-by-step explanation:
The inverse of an equation is when you switch the x-value with the y-value. The y-value is equal to f(x). So, your work will look something like this. Note the changes in bold.
f(x) = 2x - 3
f(x) = y
y = 2x - 3
x = 2y -3
x + 3 = 2y
[tex]\frac{x+3}{2}[/tex] = y
y = [tex]\frac{x+3}{2}[/tex] (here, I'm just switching it so the y-value is on the left to make it easier to read)
y = f(x)
[tex]f^{-1}[/tex](x) is the notation for inverse f(x)
So, the final equation would be written as
[tex]f^{-1}(x)=\frac{x+3}{2}[/tex]
