Home
Class 12
MATHS
Let f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in...

Let `f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in R` . If `f(x) lt 5` for all ` x in R ` then the possible set of values of m is :

A

`m lt (11)/(4)`

B

`m lt 5`

C

`(11)/(4) lt m lt 5`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=(a^2-1)/(a^2+1)x^3-3x+2log_e5 is a decreasing function of x for all x in R then the set of possible values of a is

Let f(x) = (x^(2) + 4x + 1)/( x^(2) + x + 1), x inR If m le f(x) le M AA x in R , then (1)/(2) (M - m) = _______

Let f:R rarr R be defined by, f(x)={[k-x;x le-1],[x^(2)+3,,xgt-1] .If f(x) has least value at x=-1 , then the possible value of k is

Let f(x) be a differentiable function in [2, 7] . If f(2) = 3 and f'(x) lt= 5 for all x in (2, 7), then the maximum possible value of f (x) at x=7 is

If f (x) = (x ^(2) - 3x +4)/(x ^(2)+ 3x +4), then complete solution of 0lt f (x) lt 1, is :

Let f(x) is continous function and f'(x) exist AA x in R .If f(2)=10 and f'(x)>=-3AA x in R , then least possible value of f(4)

If the inequality (mx^(2)+3x+4)/(x^(2)+2x+2)<5 is satisfied for all x in R, then find the value of m.

Let f(x)=2x^(3)+ax^(2)+bx-3cos^(2)x is an increasing function for all x in R such that ma^(2)+nb+18 lt 0 then the value of m+n+7 is