Let be defined by

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f

be defined by

f(x)=5^{x-2}

. (a) Find the inverse function

f^{-1}(x)

. (b) State the domain and range of

f

and of

f^{-1}

. (c) Verify by composition that

f\bigl(f^{-1}(x)\bigr)=x

for all

x

in the domain of

f^{-1}

.

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