Question

Find the domain of the function; 

        

Solution

Correct option is

x  [-2, 0)  (0, 1)

 

{as we know ; log a x is defined when x, a > 0 and a ≠ 1 also log 1= 0.}  

Thus, log10 (1 – x) exists when,  1 – x > 0                          …(i) 

.   1 – x > 0 and 1 – x  1   … (ii) 

⇒                                                 x < 1 and x  1               …(iii)  

 x + 2 ≥ 0 

or                                                      x ≥ -2

 exists when (iii) and (iv) both holds true. 

⇒                -2 ≤ ≤       and    x

SIMILAR QUESTIONS

Q1

If denotes greatest integer function, then

Q2

Infinite set, then period of the function cannot be

Q3

If a polynomial of degree n satisfies 

then (x) is

Q4

 

then

Q5

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

Q6

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

Q7

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

Q8

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

Q9

Find the domain of 

Q10

Find the domain of the function ;