Home
Class 12
MATHS
If f (x) =sin x+cos x, x in (-oo, oo) an...

If `f (x) =sin x+cos x, x in (-oo, oo) and g (x) = x^(2), x in (-oo,oo)` then (fog)(x) is equal to

A

1

B

0

C

`"sin"^(2)(x)+cos(x^(2))`

D

`sin(x^(2))+cos(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f:[1,oo)rarr[1,oo) is defined as f(x)=3^(x(x-2)) then f^(-1)(x) is equal to

Let f(x) lt 0 AA x in (-oo, 0) and f (x) gt 0 AA x in (0,oo) also f (0)=0, Again f'(x) lt 0 AA x in (-oo, -1) and f '(x) gt AA x in (-1,oo) also f '(-1)=0 given lim _(x to oo) f (x)=0 and lim _(x to oo) f (x)=oo and function is twice differentiable. The minimum number of points where f'(x) is zero is:

Let f(x) lt 0 AA x in (-=oo, 0) and f (x) gt 0 AA x in (0,oo) also f (0)=o, Again f'(x) lt 0 AA x in (-oo, -1) and f '(x) gt AA x in (-1,oo) also f '(-1)=0 given lim _(x to oo) f (x)=0 and lim _(x to oo) f (x)=oo and function is twice differentiable. If f'(x) lt 0 AA x in (0,oo)and f'(0)=1 then number of solutions of equatin f (x)=x ^(2) is :

If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)) , then f is

If f : ( 0, oo) rarr ( 0, oo) and f ( x ) = ( x )/( 1+ x ) , then f is

if f (x) = lim _(x to oo) (prod_(i=l)^(n ) cos ((x )/(2 ^(l)))) then f '(x) is equal to:

f(x)=x^(x),x in(0,oo) and let g(x) be inverse of f(x), then g(x) 'must be

The domain of the function f(x) = sin ^(-1) ((|x| +5)/(x^2 +1)) is ( -oo , -a ] uu [ a,oo ). then a is equal to :

lim_ (x rarr oo) (cos x + sin x) / (x ^ (2))

If f is a function defined as f ( x) = x^(2)-x+5, f: ((1)/(2) , oo) rarr ((19)/(4) , oo) , and g(x) is its inverse function, then g'(7) is equal to