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Quiz 1
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Q.1
The composition of functions is both commutative and associative.
a) True
b) False
Q.2
If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______
a) 3x-7
b) 3x-9
c) 3x+7
d) 3x-8
Q.3
If f:R→R is given by f(x)=(5+x4)1/then fοf(x) is _______
a) x
b) 10+x4
c) 5+x4
d) (10+x4)1/4
Q.4
A function is invertible if it is ____________
a) surjective
b) bijective
c) injective
d) neither surjective nor injective
Q.5
The function f:R→R defined by f(x)=5x+9 is invertible.
a) True
b) False
Q.6
If f:N→N, g:N→N and h:N→R is defined f(x)=3x-g(y)=6y2 and h(z)=tanz, find ho(gof).
a) tan(6(3x-5))
b) tan(6(3x-5)2)
c) tan(3x-5)
d) 6 tan(3x-5)2
Q.7
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
a) f = {(7,7),(8,8),(9,9)}
b) f = {(7,8),(7,9),(8,9)}
c) f = {(8,8),(8,7),(9,8)}
d) f = {(9,7),(9,8),(9,9)}
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