Home
Class 12
MATHS
Let a function f defined from R -> R a...

Let a function f defined from `R -> R` as `f(x)=[x+p^2 for x<=2 and px+5 , for x>2` , If the function is surjective, then find the sum of all possible integral values of p in `[-100,100]`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let a function f defined from R rarr R as f(x)=[x+p^(2)f or x 2 If the function is surjective,then find the sum of all possible integral values of p in [-100,100].

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

Let f:R rarr R such that f(x)={2x+k^(2)f or x<=3 and kx+10f or x< If f is surjective,then the sum of all possible integral values of k in the interval [-50,50] is equal to

Let f:R rarr R be defined as f(x)={2kx+3,x =0 If f(x) is injective then find the smallest integral value of

If the real-valued function f(x) = px + sinx is a bijective function, then the set of all possible values of p in R is

Let f:R rarr[2,oo) be a function defined as f(x)=x^(2)-12ax+15-2a+36a^(2) . If f(x) is surjective on R, then the value of a is equal to

If the function f defined as f(x) = (cx)/(2x +3) , x!=-3/2 satisfies f(f(x))=x then find the absolute value of of sum of all possible values of c .

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .