Answer:
Option 2 - \(f^{-1}(x)\) = The quantity of 4x plus 3, divided by 5.
Step-by-step explanation:
Given : f(x) = the quantity of 5x minus 3, divided by 4
To find : Which of the below expressions is correct?
Solution :
We can write the expression as
\(f(x)=\frac{5x-3}{4}\)
Let, f(x)=y
\(y=\frac{5x-3}{4}\)
To find inverse, interchange the place of x and y and solve for y.
\(x=\frac{5y-3}{4}\)
\(4x=5y-3\)
\(4x+3=5y\)
\(\frac{4x+3}{5}=y\)
So, The inverse of f(x) is \(f^{-1}(x)=\frac{4x+3}{5}\)
or \(f^{-1}(x)\) = The quantity of 4x plus 3, divided by 5.
Therefore, option 2 is correct.
