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
Answer & explanation
Correct answer: option 4
$hogof(x) = hogof(\frac{\sqrt { \pi }}{2})$
$= hog(\frac{\pi }{4}) = h(\tan\frac{\pi }{4})$
$= h(1) = \log 10 = 1$