Answer:
\(f^{-1}(x)=\dfrac{x+3}{4}\)
Step-by-step explanation:
Given: \(f(x)=4x-3\)
We need to find the inverse.
Step 1: Set f(x)=y
\(y=4x-3\)
Step 2: Switch x and y
\(x=4y-3\)
Step 3: Solve for y
\(x+3=4y\)
\(y=\dfrac{x+3}{4}\)
Hence, The inverse of given function is \(y=\dfrac{x+3}{4}\)
