Test Index

NDA Math Functions

Show Para Hide Para

Read the following information and answer the two items that follow:

Let

f(x)=x^2,g(x)=\tan x

and

h(x)=\log x.

[NDA II 2019]

© examsnet.com

Question : 9 of 60

Marks: +1, -0

For

x=\frac{\sqrt{\pi}}{2}

, what is the value of

[h \circ (g \circ f)](x) ?

0
1
$\frac{\pi}{4}$
$\frac{\pi}{2}$

Solution:

f(x)=x^2,\; g(x)=\tan x

and

h(x)=\ln x

[h \circ (g \circ f)](x)

at

x=\frac{\sqrt{\pi}}{2}

⇒ In

[\tan(x^{2})] \Rightarrow \ln\left(\tan\frac{\pi}{4}\right)=0

© examsnet.com

Go to Question:

Prev Question

Next Question