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