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)=tan⁡z, 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)}
0 h : 0 m : 1 s