TS EAMCET · Maths · Functions
If \(f:[1, \infty) \rightarrow[5, \infty)\) is given by \(f(x)=3 x+\frac{2}{x}\), then \(f^{-1}(x)=\)
- A \(\frac{1}{6}\left[x+\sqrt{x^2-24}\right]\)
- B \(\frac{x}{3 x^2+2}\)
- C \(\frac{1}{6}\left[x-\sqrt{x^2-24}\right]\)
- D \(\frac{1}{2}\left[1+\sqrt{x^2-4}\right]\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{6}\left[x+\sqrt{x^2-24}\right]\)
Step-by-step Solution
Detailed explanation
We have, \(f:[1, \infty) \rightarrow[5, \infty)\) given by \(f(x)=3 x+\frac{2}{x}\) Let \(\quad y=f(x)=3 x+\frac{2}{x}\). Then, we get…
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
- If the angle between the circles and is then a value of isTS EAMCET 2020 Hard
- If a point \(P\) moves such that its distances from the point \(A(1,1)\) and the line \(x+y+2=0\) are equal, then the locus of \(P\) isTS EAMCET 2005 Medium
- If \(a, b, c\) are real numbers such that \(a-b=1, b-c=3\), then the number of matrices of the form \(A=\left[\begin{array}{ccc}1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2\end{array}\right]\) such that \(|A|=-12\), isTS EAMCET 2019 Medium
- are aiming to shoot a balloon. will succeed times out of attempts. The chance of to shoot the balloon is out of and that of is out of If the three aim to shoot the balloon simultaneously, then the probability that at least two of them hit the balloon isTS EAMCET 2021 Easy
- If are the roots of thenTS EAMCET 2021 Easy
- The equation of the plane passing through the line of intersection of planes \(\pi_1=2 x+6 y+4 z-7=0\), \(\pi_2=x-y-2 z-2=03\) and perpendicular to the plane \(x+y+2 z-5=0\) isTS EAMCET 2020 Easy
More PYQs from TS EAMCET
- If \(A=\left[\begin{array}{lll}1 & 0 & 1 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]\), then det \(A\) is equal toTS EAMCET 2002 Easy
- For the reaction at \(25^{\circ} \mathrm{C}, \mathrm{X}_2 \mathrm{O}_4(\mathrm{l}) \longrightarrow 2 \mathrm{XO}_2(\mathrm{~g}), \Delta \mathrm{U}\) and \(\Delta \mathrm{S}\) are \(2.1 \mathrm{~K}\). Cal and \(20 \mathrm{Cal} / \mathrm{K}\) respectively. What is \(\Delta \mathrm{G}\) for the reaction at the same temperature? \((\mathrm{R}=2 \mathrm{Cal}\) \(\left.\mathrm{K}^{-1} \mathrm{~mol}^{-1}\right)\)TS EAMCET 2023 Medium
- A time varying force acts on a ball of mass for . The force versus time curve is shown below. If the initial speed of the ball is , then the speed of ball after is
TS EAMCET 2022 Medium - In , if and , thenTS EAMCET 2018 Medium
- If \(A+B+C=270^{\circ}\), then \(\cos 2 A+\cos 2 B+\cos 2 C\) is equal to :TS EAMCET 2003 Easy
- Let \(\mathrm{ABC}\) be a triangle and \(\bar{a}, \bar{b}, \bar{c}\) be the position vectors of \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) respectively. If \(\mathrm{D}\) divides \(\mathrm{BC}\) in the ratio \(2: 3\) internally and \(\mathrm{E}\) divides \(\mathrm{CA}\) in the ratio \(2: 1\) internally then the position vector of the point \(\mathrm{P}\) which divides DE in the ratio \(3: 5\) internally isTS EAMCET 2022 Medium