The inverse is:
[tex]f^{-1}(x) = x-4[/tex]
Further explanation:
Given function
[tex]f(x) = x+4[/tex]
Step 1: Replacing f(x) with y
[tex]y = x+4[/tex]
Step 2: Replacing x with y and y with x
[tex]x = y+4[/tex]
Step 3: Solving the equation for y
[tex]x = y +4\\x -4 = y+4-4\\y = x-4[/tex]
Step 4: Replacing y with f-1(x)
[tex]f^{-1}(x) = x-4[/tex]
So, the inverse is:
[tex]f^{-1}(x) = x-4[/tex]
Keywords: Functions, Inverse of function
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