$$1) h(x)=\frac{1-2^{1/x}}{1+2^{1/x}}$$
$$2) f(x)=\frac{x^3+x^2-17x+15}{x^2+2x-15}$$
$$3) g(x)=3x^2+5x+4 $$
$$4) f(x)=\frac{5x+2}{x^2+1}$$
$$5) n(t)=\sqrt{t+2}$$
$$6) f(t)=\frac{t}{t+2}$$
$$7) f(x)=\sqrt{\left|x-2\right|+1}$$
$$8) g(x)=\frac{x+3}{\left|x+3\right|}$$
$$9) F(x)=\frac{x}{x^2+x}$$