$$x = {y^{{1 \over {\ln 5}}}},y > 0$$

$$x = {y^{\ln 5}},y > 0$$

$$x = {y^{{1 \over {\ln 5}}}},y < 0$$

$$x = {5^{\ln x}},y > 0$$

odd

even

both even and odd

neither even nor odd

(0, 1)

$$\left[ {0,{1 \over 2}} \right]$$

$$\left( {0,{1 \over 2}} \right)$$

[0, 1]

tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both continuous.

tan[f(x)], where [ . ] is the greatest integer function, and f^$$-$$1(x) are both continuous.

tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both discontinuous.

tan[f(x)], where [ . ] is the greatest integer function is discontinuous but $${1 \over {f(x)}}$$ is continuous