Writing Inverse Functions

$$f\left(x\right)=\left(2x+9\right)^2$$

$$f\left(x\right)=\left(2x\right)^2+9$$

$$f\left(x\right)=2x^2+9$$

$$f^{-1}(x)=\frac{x-7}{10}$$

$$f^{-1}(x)=\frac{x-10}{7}$$

$$f^{-1}(x)=\frac{1}{10+7x}$$

$$f^{-1}(x)=\frac{3}{5}+x$$

$$f^{-1}(x)=3x+5$$

$$f^{-1}(x)=5x+3$$

$$f^{-1}\left(x\right)=4\sqrt[3]{x-2}-7$$  

$$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+7}{4}}-2$$  

$$f^{-1}\left(x\right)=\left(\frac{x+7}{4}\right)^3-2$$  

$$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}-7$$