WBJEE · Maths · Functions
If \(g(f(x))=|\sin x|\) and \(f(g(x))=(\sin \sqrt{x})^2\), then
- A \(f(x)=\sin ^2 x, g(x)=\sqrt{x}\)
- B \(f(x)=\sin x, g(x)=|x|\)
- C \(f(x)=x^2, g(x)=\sin \sqrt{x}\)
- D \(f(x)=|x|, g(x)=\sin x\)
Answer & Solution
Correct Answer
(A) \(f(x)=\sin ^2 x, g(x)=\sqrt{x}\)
Step-by-step Solution
Detailed explanation
\(g(x)=\sqrt{x}, f(x)=\sin ^2 x\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The equation \(r^2 \cos ^2\left(\theta-\frac{\pi}{3}\right)=2\) representsWBJEE 2023 Easy
- If the matrix \(\left(\begin{array}{ccc}0 & a & a \\ 2 b & b & -b \\ c & -c & c\end{array}\right)\) is orthogonal, then the values of \(a, b, c\) areWBJEE 2025 Medium
- The value of the integral \(\int_3^6 \frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}} d x\) isWBJEE 2025 Medium
- If \(\left|\begin{array}{ccc}a^{2} & b c & c^{2}+a c \\ a^{2}+a b & b^{2} & c a \\ a b & b^{2}+b c & c^{2}\end{array}\right|=k a^{2} b^{2} c^{2}\), then \(k=\)WBJEE 2020 Medium
- If \(a_i, b_i, c_i \in \mathbb{R}(i=1,2,3)\) and \(x \in \mathbb{R}\) and \(\left|\begin{array}{lll}a_1+b_1 x & a_1 x+b_1 & c_1 \\ a_2+b_2 x & a_2 x+b_2 & c_2 \\ a_3+b_3 x & a_3 x+b_3 & c_3\end{array}\right|=0\), thenWBJEE 2024 Medium
- The circles \(\mathrm{x}^2+\mathrm{y}^2-10 \mathrm{x}+16=0\) and \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\) intersect at two distinct points ifWBJEE 2009 Medium
More PYQs from WBJEE
- Metal ion responsible for the Minimata disease isWBJEE 2014 Easy
- \[
\text { Dipole moment of }
\]
is \(1.5 \mathrm{D}\). The dipole moment of
isWBJEE 2010 Easy - If \(\mathrm{f}(5)=7\) and \(\mathrm{f}^{\prime}(5)=7\) then \(\underset{x \rightarrow 5}{ } \frac{x f(5)-5 f(x)}{x-5}\) is given byWBJEE 2010 Easy
- A proton and an electron initially at rest are accelerated by the same potential difference. Assuming that a proton is 2000 times heavier than an electron, what will be the relation between the de Broglie wavelength of the proton \(\left(\lambda_{p}\right)\) and that of electron \(\left(\lambda_{c}\right) ?\)WBJEE 2019 Medium
- Let \(a, b, c, p, q\) and \(r\) be positive real numbers such that \(a, b\) and \(c\) are in GP and \(a^{p}=b^{q}=c^{r}\). Then,WBJEE 2012 Medium
- If \(\alpha\) and \(\beta\) are roots of \(x^{2}-x+1=0,\) then the value of \(\alpha^{2013}+\beta^{2013}\) isWBJEE 2013 Easy