Home
Class 12
MATHS
If f(x) = x^(2) - 2x + 4 then the set of...

If `f(x) = x^(2) - 2x + 4` then the set of values of x satisfying `f(x - 1) = f(x + 1)` is

A

{ -1}

B

{-1, 1}

C

{1}

D

{1,2}

Text Solution

Verified by Experts

The correct Answer is:
c
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TS EAMCET 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|79 Videos

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in f(x +1) is

If f(x)=(x+1)^(2)-1, x ge -1 then the set S={x, f(x)=f^(-1)x} is

Knowledge Check

  • Let f: R to R be a function satisfying f(2-x) = f(2+x) and f(20 -x) = f(x) AA x in R . For this functions f. answer the following If f(0) =5 then the minimum possible number of values of x satisfying f(x)= 5 for x in [0,170] is

    A
    21
    B
    12
    C
    11
    D
    22

  • Suppose f(x) = x(x+3)(x-2), x in [-1, 4] . Then a value of c in (-1, 4) satisfying f'(c ) = 10 is

    A
    2
    B
    `(5)/(2)`
    C
    3
    D
    `(7)/(2)`

  • Suppose f(x)=x(x+3)(x-2),x in [-1,4] . Then a value of c in (-1,4) satisfying f' ( c) = 10 is .

    A
    2
    B
    `(5)/(2)`
    C
    3
    D
    `(7)/(2)`

    • Similar Questions

    Explore conceptually related problems

    If f^(3)(x)-3f^(2)(x)+3f(x)-1=x^(6) then the value of f(0) is

    Let f(x) = x^5 + 2x^3 + 3x + 4 then the value of 28 d/(dx) (f^(-1)(x)) at x = -2 is

    If f(x) = (x-1) (x-2) (x-3) " for ' x in [0,4] then the value of c in (0,4) satisfying Lagrange's mean value theorem, is

    Let f(x)=(x+1)^(2)-1, x ge -1 . Then the set {x:f(x)=f^(-1)(x)} is

    If f(x)+2f(1-x)=x^(2)+2 AA x in R , then f(x) is given by

    Home
    Profile