Question

Find the domain of f (x) = log10 (1 + x3)

Solution

Correct option is

f (x) ,] –1, ∞[

f (x) = log10 (1 + x3) exists  

if       1 + x3 > 0  

⇒    (1 + x) (1 – x x2) > 0;     

       {where (1 – x2) is always positive as D < 0 and a > 0.}

So,   1 + x > 0  

or           > -1 

or        ] –1, ∞[   

Thus, domain of above function f (x) ,] –1, ∞[.

SIMILAR QUESTIONS

Q1

If a polynomial of degree n satisfies 

then (x) is

Q2

 

then

Q3

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

Q4

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

Q5

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

Q6

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

Q7

Find the domain of 

Q8

Find the domain of the function; 

        

Q9

Find the domain of the function ;  

          

Q10

Find the domain of f (x) = log10log10 (1 + x3)