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Quantitative Aptitude

Functions

2 f x +3 f [4...

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.

A

-62

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B

1112

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C

442

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D

None of these

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Solution

The correct option is D
None of these

Put x=5, 2f(5)+3f(25)=36.

Put x=25, 2f(25)+3f(5)=676.

f(5) = 391.2

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2 f (x) + 3 f (- x) = x^{2} - x + 1

, then the value of

f (1)

f

is a function such that

f (0) = 2,

f (1) = 3

f (x + 2) = 2 f (x) - f (x + 1)

x,

then the value of

f (5)

x

is real, then the value of the expression

\frac{x^{2} + 14 x + 9}{x^{2} + 2 x + 3}

Q. If x is real , then value of the expression

\frac{x^{2} + 14 x + 9}{x^{2} + 2 x + 3}

f (x)

is a thrice differentiable function such that,

lim x \to 0 \frac{f (4 x) - 3 f (3 x) + 3 f (2 x) - f (x)}{x^{3}} = 12

then the value of

f^{'''} (0)

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