Let `f: R->R` be a function such that `f(x)=a x+3sinx+4cosxdot` Then `f(x)` is invertible if (a)`a in (-5,5)` (b) `a in (-oo,5)` (c)`a in (-5,+oo)` (d) none of these

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

Let f be a function from R to R such that f(x)=cos(x+2) . Is f invertible? Justify your answer.

If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Then, f is invertible.

Let f(x) be the function given by f(x) = 3x^5-5x^3+21x+3sinx+cosx+5. Then ,

Let f(x) be a function such that f'(x)=(log)_(1/2)[(log)_3(sinx+a)]dot If f(x) is decreasing for all real values of x , then (a) a in (1,4) (b) a in (4,oo) (c) a in (2,3) (d) a in (2,oo)

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then f(x) is

Let f:[-1,1] to R_(f) be a function defined by f(x)=(x)/(x+2) . Show that f is invertible.

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

If f:R rarrR is a function f(x) = 5x , then f is