Let `f(x) = 1+sqrtx and g(x)=(2x)/(x^2+1)` ,then

Let f(x)=sin x+cosx and g(x)=x^(2)-1 , then g{f(x)} is invertible if -

If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find their natural domains.

g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domain of h(x) = 1-x.

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domains of f and g.

Suppose that g(x) = 1 + sqrtx and f(g(x)) = 3 + 2sqrtx +x. Then find the function f(x).

Let f(x) = sqrtx ,g(x)=1-x^2 . Compute fog and gof .

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find (f + g) (x), (f –g) (x), (fg) (x), (f/g ) (x)

Let f(x) = x^(2) and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f - g) (x), (fg) (x) and ((f)/(g)) (x) .