Q.1.
The composition of functions is both commutative and associative.
Q.2.
If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______
Q.3.
If f:R→R is given by f(x)=(5+x4)1/then fοf(x) is _______
Q.4.
A function is invertible if it is ____________
Q.5.
The function f:R→R defined by f(x)=5x+9 is invertible.
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).
Q.7.
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.