99 Percentile Qs Bank for JEE MainMathematicsFunctions

The value of f(x)+ ² (3^ x ) is

Options

A[1+ f(x) f(x) ]+4 3^ x
B[1+ f(x) f(x) ]+3^ x
C[ f(x) 1+f(x) ]+4 3^ x
D[ f(x) 1+f(x) ]+3^ x

Correct answer

A. [1+ f(x) f(x) ]+4 3^ x

Step-by-step solution

aligned & f(x)+ ² (3^ x ) &= f(x+h)- f(x)+(E-1)² 3^ x &= [ f(x+h) f(x) ]+ (E²-2 E+1 ) 3^ x &= [ E f(x)] f(x) ]+E² (3^ x )-2 E (3^ x )+3^ x &= [ (1+ ) f(x) f(x) ]+3^ x+2 -2 3^ x+1 +3^ x &= [1+ f(x) f(x) ]+3^ x (9-6+1) &= [1+ f(x) f(x) ]+4 3^ x aligned

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