MCQs of Relations and Functions

Showing 91 to 98 out of 98 Questions

91.

I f f : R \to R, f (x) = x^{2} + 2 x + 1 a n d g : R \to R a n d f (g (x)) = x^{2} + 6 x + 9 t h e n g (2) =_____

92.

F o r f u n c t i o n f : R \to R, f (x) = \frac{2 x + 1}{2} a n d g : R \to R, g (x) = x - 2, (g o f) (\frac{2}{3}) =_____

93.

A = {1, 2, 3}, B = {1, 4, 9}, f : A \to B, f (x) = x^{2} t h e n f^{- 1} =_____

94.

If f (x) = x^{2} - x + 1, x \geq \frac{1}{2} then solution of the equation f (x) = f^{- 1} (x) is x

= _____.

95.

If f : R → R, g : R → R, f(x) = 3x - 2 and g(x) = x² + 1 then (gof^-1) (2) = _____.

96.

If f (x) = \frac{2^{x} + 2^{- x}}{2} then f (x + y) + f (x - y)

= _____.

97.

f (x) = \frac{x}{x - 1}, x \neq 1, then (f o f o . . . o f 2012 times) (x)

= _____.

98.

f (x) = \frac{x - 1}{x + 1}, x \neq - 1, then f (2 x)

=_____.

Showing 91 to 98 out of 98 Questions