Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If f : R → R, g : R → R and h : R → R is such that $f(x) ={ x }^{ 2 }$, g(x) = tan x and h(x) = log(10x), then the value of [ho(gof)](x), if $x =\frac{\sqrt { \pi }}{2}$ will be

Options:

0

-1

10

1

Correct Answer:

1

Explanation:

$hogof(x) = hogof(\frac{\sqrt { \pi }}{2})$

$= hog(\frac{\pi }{4}) = h(\tan\frac{\pi }{4})$

$= h(1) = \log 10 = 1$