Question 1

Find the inverse of the function.  $f(x)=(x+10)^2 +3$

Accepted Answer

$f^{-1}(x)=-10\pm\sqrt{x-3}$

Answer

$f^{-1}(x)=-10\sqrt{x-3}$

Answer

$f^{-1}(x)=\pm\sqrt{x-10}-3$

Answer

$f^{-1}(x)=-10+\sqrt{x-3}$

Question 2

Find the inverse of the function.  $f(x)=\sqrt{2x+6}$

Accepted Answer

$f^{-1}(x)=\frac{x^2-6}{2};\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x}{2}-6)^2;\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x-6}{2})^2;\{x|x\geq0\}$

Answer

$f^{-1}(x)=\frac{x^2}{2}-6;\{x|x\geq0\}$

Question 3

Find the inverse of the function.  $f(x)=(x-4)^3+2$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Find the inverse of the function.  $f(x)=\frac{(-x-5)^2}{3}$

Accepted Answer

$f^{-1}(x)=-5\pm\sqrt{3x}$

Answer

$f^{-1}(x)=\pm\sqrt{3x-5}$

Answer

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

Answer

$f^{-1}(x)=5\pm\sqrt{3x}$

Question 5

Find the inverse of the function.  $f(x)=-2x^3+1$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Find the inverse of the function.  $f(x)=3\sqrt{x+1}-3$

Accepted Answer

$f^{-1}(x)=\frac{(x+3)^2}{9}-1;\{x|x\geq-3\}$

Answer

$f^{-1}(x)=\frac{(x+3)^2}{3}-1;\{x|x\geq3\}$

Answer

$f^{-1}(x)=\frac{(x+6)^2}{3};\{x|x\geq0\}$

Answer

$f^{-1}(x)=\frac{(x+3)^2}{9}-1;\{x|x\geq0\}$

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