# For questions 35 and 37 only a) Show that is one-to-one. b) Use Theorem 7 to find (f^-1)’ (a) . c) Calculate f^-1(x) and state the domain and range of f^-1 . Calculate (f^-1)'(a) from the formula i

For questions 35 and 37 only

a) Show that  is one-to-one.

b) Use Theorem 7 to find (f^-1)’ (a) .

c) Calculate f^-1(x)  and state the domain and range of f^-1 .

Calculate (f^-1)'(a) from the formula in part (c) and check that it agrees with the result of part (b).

Sketch the graphs of f and f^-1  on the same axes.

(550 words)

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