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Chapter 5: Q. 121 (page 287)

Iffx=ax, show thatf伪x=fx伪.

Short Answer

Expert verified

To prove f伪x=fx伪, first find f伪x and use laws of exponents.

Step by step solution

01

Step 1. Given information.

Consider the given question,

fx=ax,f伪x=fx伪

Then, f伪x=a伪x

Take the RHS,

role="math" localid="1646220558572" fx伪=fx伪=ax伪

02

Step 2. Use the laws of exponents.

Using the laws of exponents, pmn,

role="math" localid="1646220731774" fx伪=ax伪fx伪=fax

Therefore, LHS=RHS

Hence, proved.

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