Download App

Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
Question
Let $\mathrm{f}:(2,4,5\} \rightarrow\{2,3,6\}$ and $\mathrm{g}:\{2,3,6\} \rightarrow\{2,4\}$ be given by $\mathrm{f}=\{(2$, $3),(4,6),(5,2)\}$ and $g=\{(2,4),(3,4),(6,2)\}$. Write down gof.
✓

Answer

$f=\{(2,3),(4,6),(5,2)\}$
$\therefore f(2)=3, f(4)=6, f(5)=2$
$g=\{(2,4),(3,4),(6,2)\}$
$\therefore g(2)=4, g(3)=4, g(6)=2$
$g \circ f:\{2,4,5\} \rightarrow\{2,4\}$
$\text { (gof) }(2)=g(f(2))=g(3)=4$
$\text { (gof) (4) }=g(f(4))=g(6)=2$
$\text { (gof) }(5)=g(f(5))=g(2)=4$
$\therefore g \circ f=\{(2,4),(4,2),(5,4)\} $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Functions→Functions — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the sum of all integers between $84$ and $719$, which are multiples of $5$.
→
Find the other trigonometric functions if : $\cot \theta=-\frac{3}{5}$, and $180<\theta<270$
→
Let $A=\left[\begin{array}{cc}4 & -3 \\ 5 & 2\end{array}\right]$ and $B=\left[\begin{array}{cc}-1 & 3 \\ 4 & -2\end{array}\right]$ Find $\mathrm{AB}$ and $\mathrm{BA}$ which ever exist.
→
A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.
→
Express the following as a sum or difference of two trigonometric functions : $2 \sin 4 x \cos 2 x$
→
Find x in the following.
$\frac{\text{x}}{10!}=\frac{1}{8!}+\frac{1}{9!}$
→
A card is picked up from a deck of 52 playing cards.
What is the event that the chosen card is a black faced card?
→
Show the following quadratic equation by factorization method:
$x^2 + 4x + 7 = 0$
→
Evaluate the following:
$\text{i}^{30}+\text{i}^{40}+\text{i}^{60}$
→
Express the following recurring decimals as rational numbers.
$51.0 \overline{2}$
→