CBSE Class 11-science Answered
Find the domain and range of the following real functions:-
(1)f(x)=under root X(square)-3x-4
(2) f(x)=1/X(square)-3x+2 (3) f(x)=x-1/|x-1|
Asked by Akshay Hemke | 04 Jul, 2013, 11:18: PM
Expert Answer
Please ask one question/ query. Please find answers to your first question. For others also,the domain and range can be identified in a similar way.
1. f(x) = root(x2-3x-4)
f(x) = root((x-4)(x+1))
Now for f(x) to be real, (x-4)(x+1) >=0
hence, x>=4 or x<=-1.
Domain = (-infinity, -1] union [4, infinity)
For these values of x, f(x) would vary from 0 to infinity
Hence, range = [0, infinity]
Answered by | 05 Jul, 2013, 05:38: PM
Concept Videos
-
Ordered pairs, cartesian products of sets
Define the ordered pairs as the pair of elements grouped in a particular or... -
Relation between two sets
Relation between two sets as a subset of their Cartesian product. Relation:... -
Functions and various forms of representation
Define functions as special relation. Various form of representation of fun... -
Graphs of special types of functions
Graph of special types of functions. Combine the various functions by defin... -
Ordered pair and cartesian product of sets
Define the ordered pairs as the pair of elements grouped in a particular or...
CBSE 11-science - Maths
Asked by suryansh141107 | 16 Oct, 2023, 09:29: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sohammukherjee0007 | 04 Oct, 2023, 11:01: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sundramsingh1707 | 11 Jun, 2022, 05:20: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by vikashchoudhary7564 | 25 Mar, 2022, 06:19: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by arjyaabhishekbrahma | 13 Mar, 2022, 07:35: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Shanibanasrin3 | 09 Jan, 2022, 06:24: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Yojith549 | 13 Nov, 2021, 07:53: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by maarcusfelix2006 | 24 Jul, 2021, 07:39: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Jagannadhameshwar5 | 15 Jul, 2021, 09:17: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by seeni2005 | 12 Oct, 2020, 08:50: PM
ANSWERED BY EXPERT
