2 f ( x ) + 3 f [ ( 4 x + 5 ) ( x − 4 ) ] = ( x + 1 ) 2 Find the value of f(5) if x is a real number not equal to 4. Options: A . &nbsp-62 B . &nbsp1112 C . &nbsp442 D . &nbspNone of these

2f(x)+3f[(4x+5)(x−4)]=(x+1)2 Find the value of f(5) if x is a real numbe

Question

2 f (x) + 3 f [\frac{(4 x + 5)}{(x - 4)}] = (x + 1)^{2}

Find the value of f(5) if x is a real number not equal to 4.

Options:

A . -62

B . 1112

C . 442

D . None of these

Answer: Option D
:
D
Put x=5, 2f(5)+3f(25)=36.
Put x=25, 2f(25)+3f(5)=676.
f(5) = 391.2

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