Question

find the so main and range of the function f(x)=x^2/1+x^2​

Answer 1

Step-by-step explanation:

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Class 11

MATHS

FUNCTIONS

Find the domain and the range of the real function,

.

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Text Solution

Solution :

We have,

. <br> Clearly, f(x) is defined for all real values of x except those for which

. <br>

. <br> Let y=f(x). Then, <br>

<br>

<br> It is clear from (i) that x is not defined when y-1=0 or when

. <br> Now,

<br> And

<br>

<br>

<br>

<br> Thus, x is not defined when

. [using (ii) and (iii)] <br>

. <br> Hence, dom

.