KCET · Maths · Functions
\(f: R \rightarrow R\) defined by \(f(x)\) is equal to \(\left\{\begin{array}{c}2 x, x>3 \\ x^{2}, 1 < x \leq 3, \text { then } f(-2)+f(3)+f(4) \text { is } \\ 3 x, x \leq 1\end{array}\right.\)
- A 14
- B 9
- C 5
- D 11
Answer & Solution
Correct Answer
(D) 11
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\left\{\begin{array}{cc}2 x, & x>3 \\ x^{2}, & 1 < x \leq 3 \\ 3 x, & x \leq 1\end{array}\right.\)
\(\therefore \quad f(-2)+f(3)+f(4)\)
\(=3(-2)+(3)^{2}+2(4)=-6+9+8=11\)
\(\therefore \quad f(-2)+f(3)+f(4)\)
\(=3(-2)+(3)^{2}+2(4)=-6+9+8=11\)
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 \(\sin 2 x=4 \cos x\), then \(x\) is equal toKCET 2012 Easy
- \(3(\sin x-\cos x)^{4}+6(\sin x+\cos x)^{2}\)
\(+4\left(\sin ^{6} x+\cos ^{6} x\right)\)
is equal toKCET 2009 Medium - A bag contains \( 17 \) tickets numbered from \( 1 \) to \( 17 \). A ticket is drawn at random, then another
ticket isdrawn without replacing the first one. The probability that both the tickets may show
even numbers isKCET 2018 Easy - Meera visits only one of the two temples A and B in her locality. Probability that she visits temple A is \(\frac{2}{5}\). If she visits temple \(A, \frac{1}{3}\) is the probability that she meets her friend, whereas it is \(\frac{2}{7}\) if she visits temple \(B\). Meera met her friend at one of the two temples. The probability that she met her at temple B isKCET 2025 Medium
- Integrating factor of \( x \frac{d y}{d x}-y=x^{4}-3 x \) isKCET 2016 Easy
- A random variable ' \( X \) ' has the following probability distribution
\(\begin{array}{|l|l|l|l|l|l|l|l|}
\hline \mathbf{X} & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\
\hline \mathbf{P}(\mathbf{X}) & \mathrm{k}-1 & 3 \mathrm{k} & \mathrm{k} & 3 \mathrm{k} & 3 \mathrm{k}^{2} & k^{2} & k^{2}+\mathrm{k} \\
\hline
\end{array}\)
Then the value of \( k \) isKCET 2019 Medium
More PYQs from KCET
- Sporopollenin, a chemical substance is found in __________KCET 2010 Easy
- The contrapositive statement of the statement "If \( x \) is prime number, then \( x \) is odd" isKCET 2017 Easy
- \( \int_{0}^{1} \sqrt{\frac{1+x}{1-x}} d x= \)KCET 2019 Medium
- The two electrons have the following set of quantum numbers :
\[
\begin{array}{l}
P=3,2,-2,+\frac{1}{2} \\
Q=3,0,0,+\frac{1}{2}
\end{array}
\]
Which of the following statement is true?KCET 2015 Medium - The distance of the focus of \(x^{2}-y^{2}=4\), form the directrix which is nearer to it, isKCET 2010 Easy
- In sewage treatment, secondary treatment is considered highly significant, becauseKCET 2020 Easy