1.
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
A
f = {(9,7),(9,8),(9,9)}
B
f = {(7,8),(7,9),(8,9)}
C
f = {(8,8),(8,7),(9,8)}
D
f = {(7,7),(8,8),(9,9)}
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39 practice sets · Page 1 of 2
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
f = {(9,7),(9,8),(9,9)}
f = {(7,8),(7,9),(8,9)}
f = {(8,8),(8,7),(9,8)}
f = {(7,7),(8,8),(9,9)}
If f:N→N, g:N→N and h:N→R is defined as f(x) = 3x-5, g(y) = 6y² and h(z) = tan z, find ho(gof).
tan (6(3x-5))
6 tan (3x-5)2
tan (3x-5)
tan (6(3x-5)2)
The function f:R→R defined by f(x)=5x+9 is invertible.
False
True
A function is invertible if it is ____________
injective
neither surjective nor injective
surjective
bijective
If f:R→R is given by f(x) = (5+x⁴)^(1/4), then fοf(x) is _______
x
10+x4
(10+x4)1/4
5+x4
If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______
3x-8
3x-9
3x-7
3x+7
The composition of functions is both commutative and associative.
True
False
Which of the following is not a valid elementary operation?
Ri→1+kRi
Ri→Rj+kRi
Ri→kRi
Ri↔Rj
How many elementary operations are possible on Matrices?
3
2
6
5
If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?
8
6
64
32
If A X B = {(a), (b), (c), (a), (b), (c)} then find set B.
{1, a}
{a, b, c}
{1, 2}
{1}
If A X B = {(a), (b), (c), (a), (b), (c)} then find set A.
{1, a}
{1, 2}
{1}
{a, b, c}
If P = Q then P X Q = Q X P is true or not?
False
True
If P X Q has 10 elements then which is not possible?
n(P)=2 and n(Q)=5
n(P)=10 and n(Q)=1
n(P)=1 and n(Q)=10
n(P)=5 and n(Q)=4
Is (a, b) = (b, a)?
True
False
If (x+y-8, x-y) = (5, -7), then find the values of x and y.
x=7 and y=10
x=3 and y=4
x=7 and y=4
x=3 and y=10
If set P has 4 elements and set Q has 5 elements then find the number of elements in P X Q.
54
45
20
9
If (a, b) = (x, y) then___________
a=y
a=x
a=x and b=y
a=y and b=x
If P X Q is an empty set then which of the following is a null set?
both P and Q
only Q
only P
either P or Q
At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?
40 cm/s
40π cm/s
20π cm/s
400π cm/s