Home
Class 12
MATHS
Consider the function: f(x)=m a xdot{1,|...

Consider the function: `f(x)=m a xdot{1,|x-1|,` min `{4,|3x-1|}}AAx in R` . Then find the value of `f(3)dot`

Text Solution

Verified by Experts

The correct Answer is:
4

`f(3)=max.{1,|3-1|,min.{4,|9-1|}`
`=max. {1,2,4}`
`=4`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.10|6 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.11|7 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.8|9 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x) = |x^(3) + 1| . Then,

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

Let a function f(x)s a t i sfi e sf(x)+f(2x)+f(2-x)+f(1+x)=AAx in Rdot Then find the value of f(0)dot

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f'(x) = 1/x + x^2 and f(1)=4/3 then find the value of f(x)

Consider the function f(x)=tan^(-1){(3x-2)/(3+2x)}, AA x ge 0. If g(x) is the inverse function of f(x) , then the value of g'((pi)/(4)) is equal to

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx