If f : R → R is defined by f(x) = 3x + 2, find f(f(x)). - Vidyadip

Question

If f : R → R is defined by f(x) = 3x + 2, find f(f(x)).

✓

Answer

f(f(x)) = f(3x + 2)
= 3(3x + 2) + 2
= 9x + 6 + 2
= 9x + 8

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 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Write the primitive or anti-derivative of $\text{f(x)}=\sqrt{\text{x}}=\frac{1}{\sqrt{\text{x}}}$.

Differentiate the following w. r. t. x.$\operatorname{cosec}^{-1}\left(\frac{1}{3 x-4 x^3}\right)$

Solve the differential equation $\sec ^2 y \tan x d y+\sec ^2 x \tan y d x=0$

Construct the truth table for each of the following : [(~p ∨ q) ∧ (q → r)] → (p → r)

Find x, y and z so that A = B, where.
$\text{A}=\begin{bmatrix}\text{x}-2&3&2\text{z}\\18\text{z}&\text{y}+2&6\text{z}\end{bmatrix},\text{B}=\begin{bmatrix}\text{y}&\text{z}&6\\6\text{y}&\text{x}&2\text{y}\end{bmatrix}$

A trust fund has Rs. 30000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs. 30000 among the two types of bonds. If the trust fund must obtain an annual total interest of:

Rs. 1800
Rs. 2000

Find the value of x from the following: $\begin{vmatrix}\text{x}&4\\2&2\text{x}\end{vmatrix}=0$

If $A=\left[\begin{array}{cc}2 & -3 \\ 3 & 5\end{array}\right]$ then find $A^{-1}$ by adjoint method.

Find a unit vector in the direction of the vector $\vec{\text{a}}=3\hat{\text{i}}-2\hat{\text{j}}+6\hat{\text{k}}$.

Write the domain of the real function $\text{f(x)}=\sqrt{\text{x}-[\text{x}]}.$