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  • Need solution for RD Sharma maths class 12 chapter Continuity exercise 8.2 question 18

Need solution for RD Sharma maths class 12 chapter Continuity exercise 8.2 question 18

Answers (1)

Answer:

 x=-2, -5/2

Hint:

 f \circ f(x)=f(f(x))

Given:

 f(x)=1 / x+2

Explanation:

Clearly,

f(x)=1 / x+2

is discontinuous at

X = -2

Also, it is not defined at x = -2

For x ≠ -2  

\begin{aligned} &f(x)=f\left(\frac{1}{x+2}\right) \\ &=\frac{1}{\frac{1}{x+2}+2} \\ &=\frac{\frac{1}{2 x+5}}{x+2} \\ &=\frac{x+2}{2 x+5} \end{aligned}

We observe that,

f(f(x))  is discontinuous and not defined a

\begin{aligned} x=-\frac{5}{2} \end{aligned}

Hence

f(f(x)) is not continuous at x = -2 and

\begin{aligned} x=-\frac{5}{2} \end{aligned}

Posted by

Gurleen Kaur

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