﻿ Find the domain of single valued function y = f (x) given by the equation 10x + 10y = 10. : Kaysons Education

# Find The Domain Of Single Valued Function y = f (x) Given By The Equation 10x + 10y = 10.

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

x Ïµ (–∞, 1)

Given:

10x + 10y = 1

⇒            10y = 10 – 10x

Now,     101 – 10x > 0

⇒         101 > 10x

⇒          1 > x

Hence, domain of single valued function

y = (x)  ⇒      x < 1

#### SIMILAR QUESTIONS

Q1

Let (x) and g(x) be bijective function where :{a, b, c, d}{1, 2, 3, 4}and g:{3, 4, 5, 6}{w, x, y, z) respectively. The number of elements in the range set of g(f (x)) is

Q2

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x) = q(p(x). Then p(x) is

Q3

If denotes greatest integer function, then

Q4

Infinite set, then period of the function cannot be

Q5

If a polynomial of degree n satisfies

then (x) is

Q6

then

Q7

In the given figure find the domain, co-domain and range.

Q8

Find whether (x) = x3 forms a mapping or not?

Q9

Find whether  forms a mapping or not?Find whether  forms a mapping or not?

Q10

Find the domain of