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Question Details

If  f ( x ) = 5 x + 2 3 x − 5  and  g ( x ) = x 2 − 2 x − 1 ,  then the value of  g ( f ( f ( 3 ) ) )  is  ?

Options

A

2

B

1/3

C

6

D

2/3

Show Answer

Correct Answer :

Option A

2

Solution :

The correct option is A.

We are given functions:
f(x)=5x+23x−5
g(x)=x2−2x−1

We want to find the value of g(f(f(3))).

Step 1: Calculate f(3):
f(3)=5(3)+23(3)−5=174

Step 2: Calculate f(f(3))=f174:
f174=5174+23174−5=854+84514−204=9331=3

Step 3: Calculate g(3):
g(3)=32−2(3)−1=9−6−1=2

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