Home
Class 11
MATHS
Find the values of x for which the funct...

Find the values of `x` for which the functions `f(x)=3x^2-1` and `g(x)=3+x` are equal

Text Solution

Verified by Experts

`:. f(x)=g(x)`
`rArr 3x^(2)-1=3+x`
`rArr 3x^(2)-x-4=0`
`rArr 3x^(2)-4x+3 x-4=0`
`rArrx(3x-4)+1(3x-4)=0`
`rArr (3x-4)(x+1)=0`
`:. x=-1,(4)/(3)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|8 Videos
  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos
  • PROBABILITY

    NCERT EXEMPLAR|Exercise Matching The Columns|2 Videos
  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

For which Domain,the functions f(x)=2x^(2)-1 and g(x)=1-3x are equal to

Fid the domain for which the functions f(x)=2x^(2)-1 and g(x)=1-3x are equal.

The domain for which the functions defined by f(x)=3x^(2)-1 and g(x)=3+x are equal to :

Find the value of x for which function are identical.f(x)=x and g(x)=(1)/(1/x)

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the values of x, for which the function f(x)=x^(3)+12x^(2)+36x+6 is increasing.

Find the value of x for which the function f(x)=1+2sin x+3cos^(2)x(0<=x<=(2 pi)/(3)) ) is maximum.Also find these values of the function.

Find the values 'a' for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-1 decreases for all real values of x

Find the value of x for which function are identical.f(x)=cos x and g(x)=(1)/(sqrt(1+tan^(2)x))