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Chapter 5: Q. 120 (page 287)

If fx=ax, show thatf-x=1fx.

Short Answer

Expert verified

To prove f-x=1fx, first find f-x and apply the laws of exponents.

Step by step solution

01

Step 1. Given information.

Consider the given question,
fx=axf-x=1fx

Then,

f-x=a-x

02

Step 2. Use the law of exponents.

Using laws of exponents, m-n=1mn,

f-x=1axf-x=1fx

Therefore, LHS=RHS.

Hence, proved.

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