Question
State True or False for the statements.
Every function is invertible.

Answer

False.Solution:
Only bijective functions are invertible.

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

Similar questions

State True or False for the following:
Correct substitution for the solution of the differential equation of the type $\frac{\text{dy}}{\text{dx}}=\text{g}(\text{x, y})$ where g(x, y) is a homogeneous function of the degree zero is x = vy.
Which of the following statements are True or False.
If A and B are two square matrices of the same order, then AB = BA.
State True or False for the statements of the following Exercise:
Let $ \begin{vmatrix}\text{a}&\text{p}&\text{x}\\\text{b}&\text{q}&\text{y}\\\text{c}&\text{r}&\text{z}\end{vmatrix}=16,$ then $\Delta_1=\begin{vmatrix}\text{p}+\text{x}&\text{a}+\text{x}&\text{a}+\text{p}\\\text{q}+\text{y}&\text{b} +\text{y}&\text{b}+\text{q}\\\text{r}+\text{z}&\text{c}+ \text{z}&\text{c}+\text{r}\end{vmatrix}=32.$
State True or False for the following:
The formula $(\vec{\text{a}}+\vec{\text{b}})=\vec{\text{a}}^2+\vec{\text{b}}^2+2\vec{\text{a}}\times\vec{\text{b}}$ is valid for non-zero vectors $\vec{\text{a}}$ and $\vec{\text{b}}.$
Which of the following statements are True or False.
If matrix AB = 0, then A = 0 or B = 0 or both A and B are null matrices.
Which of the following statements are True or False.
Matrix addition is associative as well as commutative.
State True or False for the following:
The unit vector normal to the plane x + 2y +3z – 6 = 0 is $\frac{1}{\sqrt{14}}\hat{\text{i}}+\frac{2}{\sqrt{14}}\hat{\text{j}}+\frac{3}{\sqrt{14}}\hat{\text{k}}.$
Two collinear vectors are always equal in magnitude.
Which of the following statements are True or False. If $A, B$ and $C$ are square matrices of same order, then $AB = AC$ always implies that $B = C.$
State True or False for the statement.
The least numerical value, either positive or negative of angle $\theta$ is called principal value of the inverse trigonometric function.