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Show how to find the inverse of f(x)= x^2+3. Show work and explain step by step.
[tex]f(x) = x^2 +3 \\\\\text{Write f(x) as}~ y = x^2 +3 \\\\\text{Replace x with y and solve for y}\\\\x = y^2+3\\\\\implies y^2 = x-3\\\\\implies y=\pm\sqrt{x-3}\\\\\implies f^{-1}(x) = \pm\sqrt{x-3}\\\\\text{This is the inverse of f(x).}[/tex]
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