If 2f x - 3-f 1 2 - x2 - 1 then find fx-

2f( x )+3f( 1 2 #160; )= x ^ 2 1 put,x=1 2f( 1 )+3f( 1 2 #160; )=0 2f( 1 )= 3f( 1 2 #160; ) f( 1 )= 3 2 f( 1 2 ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Definition of Function

If 2f x + 3...

Question

If $2 f (x) + 3. f (\frac{1}{2}) = x^{2} - 1$ then find f(x).

Open in App

Solution

Suggest Corrections

Similar questions

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

f (x)

\int x {sin}^{- 1} x d x = \frac{x^{2}}{2} f (x) + \frac{1}{2} [\frac{x}{2} g (x) + \frac{1}{2} f (x)] - \frac{1}{2} f (x) + C

f (x)

g (x)

Find f(x) if it satisfies the relation

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

f (x) = \frac{x + 2}{2 x + 3}

\int {(\frac{f (x)}{x^{2}})}^{1 / 2} d x = \frac{1}{\sqrt{2}} g (\frac{1 + \sqrt{2 f (x)}}{1 - \sqrt{2 f (x)}}) - \sqrt{\frac{2}{3}} h (\frac{\sqrt{3 f (x)} + \sqrt{2}}{\sqrt{3 f (x)} - \sqrt{2}}) + c

f (x) = x^{2} - 3 x + 5

lim x \to 2 \frac{f (x) - f (2)}{x - 2}

Join BYJU'S Learning Program