TS EAMCET · Maths · Functions
If is defined by , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
fx=1+1+4log2x2 If fx=y, then x=f-1y. 1+1+4log2x2=y ⇒1+4log2x=2y-1 ⇒1+4log2x=4y2+1-4y ⇒log2x=y2-y ⇒x=2y2-y f-1y=2y2-y ⇒f-13=232-3 =29-3 =26 =64
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
- In a \(\triangle A B C\), if \(\cos A+\cos B+\cos C\) \(=a+b \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}\), then \((a+b)\) is equal toTS EAMCET 2021 Medium
- If \(\alpha, \beta(\alpha>\beta)\) are two values of \(k\) such that the equations \(2 x+(3-2 k) y+(2 k+1)=0\) and \(k x+(k-1) y-4=0\) represent two perpendicular lines, then \(\alpha^2+2 \beta=\)TS EAMCET 2023 Easy
- The equation of the straight line perpendicular to the straight line \(3 x+2 y=0\) and passing through the point of intersection of the lines \(x+3 y-1=0\) and \(x-2 y+4=0\) isTS EAMCET 2009 Easy
- If three dice are thrown, then the mean of the sum of the numbers appearing on them isTS EAMCET 2025 Medium
- If \(\omega\) is a complex cube root of unity, then \(\sum_{x=1}^{10}\left((\omega x+2)\left(\omega^2 x+2\right)-3\right)\)TS EAMCET 2020 Easy
- If the circles \(x^2+y^2-16 x-20 y+164=r^2(\mathrm{r}>0)\) and \(x^2+y^2-8 x-14 y+29=0\) intersect in two distinct points, then the maximum possible integral value of \(r\) isTS EAMCET 2022 Easy
More PYQs from TS EAMCET
- If is a point on the hyperbola , where is the parameter in its parametric form, thenTS EAMCET 2022 Easy
- \(\int(\log x)^3 x^4 d x\)TS EAMCET 2018 Easy
- A class has fifteen boys and five girls. Suppose three students are selected at random from the class. The probability that there are two boys and one girl isTS EAMCET 2011 Medium
- In \(\triangle A B C\), if \(B+C=72^{\circ}\), then \(\left(1+\frac{a}{c}+\frac{b}{c}\right)\) \(\left(1+\frac{c}{b}-\frac{a}{b}\right)\) is equal toTS EAMCET 2021 Easy
- For the circuit shown in the figure, calculate the resistance between the points \(A\) and \(\mathrm{B}\).
TS EAMCET 2019 Medium - If the system of linear equations \((\sin \theta) x-y+z=0, x-(\cos \theta) y+z=0\), \(x+y+(\sin \theta) z=0\) has non-trivial solution, then the least positive value of \(\theta\) isTS EAMCET 2025 Medium