Question 1

Find the inverse of the function.  $f(x)=(x+2)^2 +7$

Accepted Answer

$f^{-1}(x)=-2\pm\sqrt{x-7}$

Answer

$f^{-1}(x)=-2\sqrt{x-7}$

Answer

$f^{-1}(x)=\pm\sqrt{x-2}-7$

Answer

$f^{-1}(x)=-2+\sqrt{x-7}$

Question 2

Find the inverse of the function.  $f(x)=\sqrt{4x+1}$

Accepted Answer

$f^{-1}(x)=\frac{x^2-1}{4};\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x}{4}-1)^2;\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x-1}{4})^2;\{x|x\geq1\}$

Answer

$f^{-1}(x)=\frac{x^2}{4}-1;\{x|x\geq0\}$

Question 3

Find the inverse of the function.  $f(x)=(x-2)^3+3$

Accepted Answer

$f^{-1}(x)=\sqrt[3]{x-3}+2$

Answer

$f^{-1}(x)=\sqrt[3]{x+2}-3$

Answer

$f^{-1}(x)=\sqrt[3]{x}-1$

Answer

$f^{-1}(x)=\sqrt[3]{x}+1$

Question 4

Find the inverse of the function.  $f(x)=\frac{(-x+1)^2}{4}$

Accepted Answer

$f^{1}(x)=1\pm\sqrt{4x}$

Answer

$f^{-1}(x)=\pm\sqrt{4x-1}$

Answer

$f^{-1}(x)=\pm\sqrt{4x+1}$

Answer

$f^{-1}(x)=-1\pm\sqrt{4x}$

Question 5

Find the inverse of the function.  $f(x)=-3x^3+2$

Accepted Answer

$f^{-1}(x)=\sqrt[3]\frac{x-2}{-3}$

Answer

$f^{-1}(x)=\sqrt[3]\frac{x}{3}-2$

Answer

$f^{-1}(x)=\sqrt[3]\frac{x}{-3}-2$

Answer

$f^{-1}(x)=\frac{\sqrt[3]{x^2-2}}{-3}$

Question 6

Find the inverse of the function.  $f(x)=5\sqrt{x+2}-4$

Accepted Answer

$f^{-1}(x)=\frac{(x+4)^2}{25}-2;\{x|x\geq-4\}$

Answer

$f^{-1}(x)=\frac{(x+5)^2}{2}+4;\{x|x\geq-5\}$

Answer

$f^{-1}(x)=\frac{(x-2)^2}{5}+4;\{x|x\geq2\}$

Answer

$f^{-1}(x)=\frac{(x+4)^2}{5}-2;\{x|x\geq-4\}$

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