If f(x)=2 x^2+3, g(x)=5 x-2, then find fof - Vidyadip

Question

If $f(x)=2 x^2+3, g(x)=5 x-2$, then find fof

✓

Answer

$ \text { (fof) }(x)=f(f(x))$
$=f\left(2 x^2+3\right)$
$=2\left(2 x^2+3\right)^2+3$
$=2\left(4 x^4+12 x^2+9\right)+3$
$=8 x^4+24 x^2+21 $

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.(1 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 out the following sentences are statements and which are not. Justify your answer.
Is the earth round?

If $\tan A=\frac{4}{3}$, find the value of $\frac{2 \sin A-3 \cos A}{2 \sin A+3 \cos A}$

If $a ≠ b ≠ c$, write the condition for which the equations $(b - c) x + (c - a) y + (a - b) = 0$ and $(b^3 - c^3)x + (c^3 - a^3)y + (a^3 - b^3) = 0$ represent the same line.

Determine which of the following pairs of angles are co-terminal : -405°, 675°

Let A = {1, 2, 3, 5}, B = {4, 6, 9} and R be a relation from A to B defined by R = {(x, y) : x - y is odd}. Write R in roster form.

$z_1=1+i_1 z_2=2-3 i$, verify the following:

$\overline{\left(\frac{ z _1}{ z _2}\right)}=\frac{\overline{ z }_1}{\overline{ z }_2}$

The given collections are sets or not? Justify your answer:
The collection of all girls in your class.

Express the following as the product of sines and cosines:
$\sin5\text{x}-\sin\text{x}$

Prove that $\frac{\cos ^3 \theta-\cos 3 \theta}{\cos \theta}+\frac{\sin ^3 \theta+\sin 3 \theta}{\sin \theta}=3$

Name the octants in which the following points lie:
(2, -5, -7)