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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

A

`[-1,(4)/(3)]`

B

`[1,(4)/(3)]`

C

`[-1,-(4)/(3)]`

D

`[-2,-(4)/(3)]`

Text Solution

Verified by Experts

The correct Answer is:
A
We have `f(x)=3x^(2)-1 and g(x) =3+x`
f(x) =g(x)
`rArr 3x^(2)-1=3+x`
`rArr 3x^(2)-x-4=0`
`rArr 3x^(2)-4x+3x-4=0`
`rArr x(3x-4)+1(3x-4)=0`
`rArr (3x -4)(x+1)=0`
`:. x=-1,(4)/(3)`
So domain for which f(x) and g(x) are equal to `[-1,(4)/(3)]`
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