Download App

RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
f(x) = 8x3 and g(x) $=\text{x}^{\frac{1}{3}}.$
✓

Answer

f(x) = 8x3 and g(x) $\text{x}^{\frac{1}{3}}$
gof = g[f(x)] = g[8x3] $(8\text{x}^3)^{\frac{1}{3}}=2\text{x}$
and fog = f[g(x)] $=f\Big[\Big(\text{x}^{\frac{1}{3}}\Big)\Big]=8\Big(\text{x}^{\frac{1}{3}}\Big)^3=8\text{x}$

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 "2 Marks" from RELATIONS AND FUNCTIONS→RELATIONS AND FUNCTIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the equation of the curve passing through the point $\left( {0,\frac{\pi }{4}} \right)$whose differential equation is $\sin x\cos ydx + \cos x\sin ydy = 0$
→
Show by an example that for $\text{A}\neq0,\ \text{B}\neq0,\ \text{AB}=0.$
→
Evaluate the following integrals:
$\int\frac{1}{1+\text{x}-\text{x}^2}\text{dx}$
→
If A = {3, 5, 7} and B = {2, 4, 9} and R is a relation given by "is less than", write R as a set ordered pairs.
→
Evaluate the following integrals:
$\int\limits^\frac{\pi}{2}_{-\frac{\pi}{2}}\log\Big(\frac{\text{a}-\sin\theta}{\text{a}+\sin\theta}\Big)\text{d}\theta$
→
Is * defined on the set {1, 2, 3, 4, 5} by a * b = LCM of a and b a binary operation? Justify your answer.
→
Write the value of $\tan^{-1}\Big(\frac{1}{\text{x}}\Big)$ for x < 0 in terms of $\cot^{-1}\text{x}.$
→
If A is a skew-symmetric matrix and n is an odd natural number, write whether An is symmetric or skew-symmetric or neither of the two.
→
Evaluate the following integrals:
$\int\sin^5\text{x}\cos\text{x dx}$
→
Find the value of x, if:
if $\begin{vmatrix}3\text{x}&7\\2&4\end{vmatrix}=10,$ find the value of x.
→