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