impulse function

The result of the convolution $$x\left( { - t} \right) * \delta \left( { - t - {t_0}} \right)$$ is

Consider the z-transform X(z)=5$${z^2} + 4{z^{ - 1}} + 3;0 < \left| z \right| < \infty $$. The inverse z - transform x$$\,\left[ n \right]$$ is

The Dirac delta function $$\delta (t)$$ is defined as

The Dirac delta Function $$\delta \left( t \right)$$ is defined as

Convolution of x(t + 5) with impulse function $$\delta \left( {t\, - \,7} \right)$$ is equal to