Let f: R->R be a function such that f(x...

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

Similar Questions

Explore conceptually related problems

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

If f:R rarr R-{3} be a function such that f(x+1)=(f(x)-5)/(f(x)-3)AA x in R, then

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

Given a function f' such that f(x)=5x+4 , x in R ,if g:R rarr R is the inverse of f' ' then

Let f : R to R be a function such that lim_(x to oo) f(x) = M gt 0 . Then which of the following is false?

Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . Then Write f^(−1) .

If f:R rarr R is a function such that f(5x)+f(5x+1)+f(5x+2)=0, AA x in R , then the period of f(x) is

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then (a) k in(2,oo)(b)k in(-oo,2)(c)k in(4,oo)(d)k in(-oo,4)

if the function f: R rarr R given be f(x)=x^3 + ax^2 + 5 x + sin 2x is invertible then