Home
Class 11
MATHS
Find the domain and the range of the fun...

Find the domain and the range of the function, `f(x)=(x-2)/(x-3)`.

Text Solution

AI Generated Solution

Let's find the domain and the range of the function \( f(x) = \frac{x-2}{x-3} \). ### Step-by-Step Solution: #### Step 1: Finding the Domain 1. **Identify the denominator**: The function \( f(x) = \frac{x-2}{x-3} \) has a denominator \( x-3 \). 2. **Set the denominator not equal to zero**: For the function to be defined, the denominator must not be zero. \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    RS AGGARWAL|Exercise SOLVED EXAMPLES|20 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3A|20 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS|21 Videos
  • ELLIPSE

    RS AGGARWAL|Exercise EXERCISE|26 Videos
  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12H (Very Short Answer Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the domain and the range of the function, f(x)=(x^(2)-25)/(x-5) .

Find the domain and the range of the real function, f(x)=(x-3)/(x-5) .

Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

Find the domain and the range of the real function, f(x)=(1)/(x+3) .

Find the domain and the range of the real function, f(x)=(3-x)/(x-3) .

Find the domain and range of the function f(x)=(x)/(|x|)

Find the domain and range of the function f(x) = sqrt(x-1)

Find the domain and range of the function f(x)=sqrt(x-5) .

Find the domain and the range of the real function, f(x)=(|x-3|)/((x-3)) .

Find the domain and range of the function f(x)=(x)/(1+x^(2))