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Asked by yugibo | 13th Apr, 2016, 10:47: PM

Expert Answer:

open parentheses fog close parentheses open parentheses x close parentheses space equals space f open parentheses g open parentheses x close parentheses close parentheses equals f open parentheses 3 to the power of x close parentheses equals open parentheses 3 to the power of x close parentheses cubed equals 3 to the power of 3 x end exponent

open parentheses g o f close parentheses open parentheses x close parentheses space equals space g open parentheses f open parentheses x close parentheses close parentheses equals g open parentheses x cubed close parentheses equals open parentheses 3 close parentheses to the power of x cubed end exponent equals 3 to the power of x cubed end exponent


open parentheses f o g close parentheses open parentheses x close parentheses space equals space open parentheses g o f close parentheses open parentheses x close parentheses
3 to the power of 3 x end exponent space equals space 3 to the power of x cubed end exponent space
rightwards double arrow 3 x space equals space x cubed
rightwards double arrow 3 x space minus space x cubed space equals space 0
rightwards double arrow x open parentheses 3 space minus space x squared close parentheses space equals space 0
rightwards double arrow x space equals space 0 space space o r space space open parentheses 3 space minus space x squared close parentheses equals space 0
rightwards double arrow x space equals space 0 space space o r space space x equals space plus-or-minus square root of 3
But space straight x element of straight W
Hence space straight x space equals space 0 space is space the space solution.

Answered by Vijaykumar Wani | 15th Apr, 2016, 10:19: AM