Mark (√) against the correct answer in the following:If f(x) = x2, g

1.	Mark (√) against the correct answer in the following:If f(x) = x2, g(x) = tan x and h(x) = log x then \(\{ho(gof)\}(\sqrt{\frac{\pi}{4}})=?\)A. 0B. 1C. \(\frac{1}{x}\)D. \(\frac{1}{2}log\frac{\pi}{4}\)
Answer» Correct Answer is (A) 0 f(x) = x², g(x) = tan x and h(x) = log x \(\Rightarrow g(f(x))=tan(f(x))=tan(x^2)\) \(\Rightarrow h(g(f(x)))=log(g(f(x)))=log(tan(x^2))\) \(\Rightarrow h(g(f(\sqrt{\frac{\pi}{4}})))\)\(=log(tan(\sqrt{\frac{\pi}{4}}))\)\(=log(tan(\frac{\pi}{4}))\)\(=log(1)=0\)

Mark (√) against the correct answer in the following:If f(x) = x2, g(x) = tan x and h(x) = log x then \(\{ho(gof)\}(\sqrt{\frac{\pi}{4}})=?\)A. 0B. 1C. \(\frac{1}{x}\)D. \(\frac{1}{2}log\frac{\pi}{4}\)

Answer»

Correct Answer is (A) 0

f(x) = x², g(x) = tan x and h(x) = log x

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

\(\Rightarrow h(g(f(x)))=log(g(f(x)))=log(tan(x^2))\)

\(\Rightarrow h(g(f(\sqrt{\frac{\pi}{4}})))\)\(=log(tan(\sqrt{\frac{\pi}{4}}))\)\(=log(tan(\frac{\pi}{4}))\)\(=log(1)=0\)