For #1-4 find the inverse of the function.
1) \(f\left(x\right)=4-5\sqrt[3]{x}\)
2) \(y=\Large\frac{4x}{x-7}\)
3) \(f(x)=2-x^3\)
4) \(y=3e^{\left(2x-1\right)}\)
5) Use the definition of inverse functions to verify if the following pair of functions are or are not inverse functions. \(y=3x-5\) and \(y=\Large\frac{1}{3}\normalsize x+\Large\frac{3}{5}\)
6) Sketch a graph of the inverse of the function shown.
1) \(f\left(x\right)=4-5\sqrt[3]{x}\)
2) \(y=\Large\frac{4x}{x-7}\)
3) \(f(x)=2-x^3\)
4) \(y=3e^{\left(2x-1\right)}\)
5) Use the definition of inverse functions to verify if the following pair of functions are or are not inverse functions. \(y=3x-5\) and \(y=\Large\frac{1}{3}\normalsize x+\Large\frac{3}{5}\)
6) Sketch a graph of the inverse of the function shown.
8) Find the inverse of the function \(f\left(x\right)=\log_3\left(x\right)+8\).
9) Find the inverse of the function \(f\left(x\right)=\log\sqrt[4]{x+6}\).
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