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Inverse Functions 2 worksheet

Name:                                    Date:
Write down the inverse function f^{-1}(x) , given:

Question 1:     f(x)={\Large\frac{4}{7}}(x - 9) + 7Question 2:     f(x)=\sqrt{\Large\frac{7x + 5}{2}}
Question 3:     f(x)={\Large\frac{4cos(x)}{3}}Question 4:     f(x)={\Large\frac{x}{4}} + 6
Question 5:     f(x)={\Large\frac{8(x + 4)}{3}} - 8Question 6:     f(x)=4 - 5cos(x)
Question 7:     f(x)=\sqrt{\Large\frac{4x - 3}{5}}Question 8:     f(x)={\Large\frac{6}{x}} + 7
Question 9:     f(x)={\Large\frac{9tan(x)}{7}}Question 10:     f(x)=tan(9x + 7)
Question 11:     f(x)={\Large \frac {\sqrt{9x + 5}}{7}}Question 12:     f(x)={\Large\frac{9}{x}} - 3
Question 13:     f(x)=7 + 5sin(x)Question 14:     f(x)={\Large \frac {8x^2 + 5}{7}}
Question 15:     f(x)={\Large \frac {\sqrt{4x - 3}}{7}}Question 16:     f(x)={\Large\frac{x}{2}} - 5
Question 17:     f(x)={\Large \frac {5x^2 - 4}{7}}Question 18:     f(x)=cos(4x - 8)
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Answers

Question 1:     f^{-1}(x)={\Large\frac{7(x - 7)}{4}} + 9
Question 2:     f^{-1}(x)={\Large\frac{2x^2 - 5}{7}}
Question 3:     f^{-1}(x)=cos^{-1}{\Large(\frac{3x}{4})}
Question 4:     f^{-1}(x)=4(x - 6)
Question 5:     f^{-1}(x)={\Large\frac{3(x + 8)}{8}} - 4
Question 6:     f^{-1}(x)=cos^{-1}{\Large(\frac{4-x}{5})}
Question 7:     f^{-1}(x)={\Large\frac{5x^2 + 3}{4}}
Question 8:     f^{-1}(x)={\Large\frac{6}{x - 7}}
Question 9:     f^{-1}(x)=tan^{-1}{\Large(\frac{7x}{9})}
Question 10:     f^{-1}(x)={\Large\frac{tan^{-1}(x) - 7}{9}}
Question 11:     f^{-1}(x)={\Large\frac{49x^2 - 5}{9}}
Question 12:     f^{-1}(x)={\Large\frac{9}{x + 3}}
Question 13:     f^{-1}(x)=sin^{-1}{\Large(\frac{x-7}{5})}
Question 14:     f^{-1}(x)={\Large \sqrt{\frac{7x - 5}{8}}}
Question 15:     f^{-1}(x)={\Large\frac{49x^2 + 3}{4}}
Question 16:     f^{-1}(x)=2(x + 5)
Question 17:     f^{-1}(x)={\Large \sqrt{\frac{7x + 4}{5}}}
Question 18:     f^{-1}(x)={\Large\frac{cos^{-1}(x) + 8}{4}}
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