Let `f: R ,vecRw h e r ef(x)=(x^2+4x+7)/(x^2+x+1)` . Is `f(x)on eon e ?`

Let f:R rarr R where,f(x)=(x^(2)+4x+7)/(x^(2)+x+1) Is f(x) one-one?

Let f:R to R be defined as f (x) =( 9x ^(2) -x +4)/( x ^(2) _ x+4). Then the range of the function f (x) is

Let f:R rarr R be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range of the function f(x) is

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

Let f:R rarr R be defined by f(x)=(e^(x)-e^(-x))/2* Is f(x) invertible? If so,find is inverse.

Let f:r rarr R, where f(x)=2^(|x|)-2^(-x) then f(x) is

Let g:R rarr R be defined as g(x)=(e^(x)-e^(-x))/(2) If g(f(x))=x ,then the value of f((e^(100)-1)/(2e^(50)))

Let f: R to R be defined by f(x) = (3x^(2)+3x-4)/(3-3x + 4x^(2)) , then

Let f:R rarr R be defined as f(x)=7e^(sin^(2)x)e^(cos^(2)x)+2, then the value of sqrt(7f_(min))+f_(max) is equal to

(ii) Let g:R rarr R be defined as g(x)=(x^(3)+e^(2x)-1)/(2) . If g(f(x))=x while f((e^(4)+7)/(2))=alpha ,then find the number of solution(s) of the equation ||x-2|-3|-alpha=0