Question 1

Find the inverse of the function.  $f(x)=(x+4)^2 +5$

Accepted Answer

$f^{-1}(x)=-4\pm\sqrt{x-5}$

Answer

$f^{-1}(x)=-4\sqrt{x-5}$

Answer

$f^{-1}(x)=\pm\sqrt{x-4}-5$

Answer

$f^{-1}(x)=-4+\sqrt{x-5}$

Question 2

Find the inverse of the function.  $f(x)=\sqrt{3x+7}$

Accepted Answer

$f^{-1}(x)=\frac{x^2-7}{3};\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x}{3}-7)^2;\{x|x\geq0\}$

Answer

$f^{-1}(x)=(\frac{x-7}{3})^2;\{x|x\geq7\}$

Answer

$f^{-1}(x)=\frac{x^2}{3}-7;\{x|x\geq0\}$

Question 3

Find the inverse of the function.  $f(x)=(x-5)^3+1$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

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

Accepted Answer

$f^{-1}(x)=2\pm\sqrt{5x}$

Answer

$f^{-1}(x)=\pm\sqrt{5x-2}$

Answer

$f^{-1}(x)=\pm\sqrt{5x+2}$

Answer

$f^{-1}(x)=-2\pm\sqrt{5x}$

Question 5

Find the inverse of the function.  $f(x)=5x^3-4$

Accepted Answer

$f^{-1}(x)=\sqrt[3]\frac{x+4}{5}$

Answer

$f^{-1}(x)=\sqrt[3]\frac{x}{5}-4$

Answer

$f^{-1}(x)=\sqrt[3]\frac{x}{5}+4$

Answer

$f^{-1}(x)=\frac{\sqrt[3]{x^2+4}}{5}$

Question 6

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

Accepted Answer

$f^{-1}(x)=\frac{(x-5)^2}{4}+3;\{x|x\geq5\}$

Answer

$f^{-1}(x)=\frac{(x+3)^2}{2}+5;\{x|x\geq-3\}$

Answer

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

Answer

$f^{-1}(x)=\frac{(x-5)^2}{4}+3;\{x|x\geq0\}$

Related quizzes