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Gib für folgende Funktionen die maximale Definitionsmenge an $\left(G=ℝ\right)$ .

1. $f(x)=\dfrac{4x-3}{2x-5}$

2. $f(x)=\dfrac{3x^3+7}{x^2-2x}$

3. $f\left(x\right)=\dfrac{2x+x^7}{\frac19x^2+\frac13x+\frac14}$

4. $f\left(x\right)=\dfrac{2x^4-x^2}{0{,}01x^2-1}$

5. $f\left(x\right)=\sqrt{7x+4}$

6. $f\left(x\right)=\sqrt{x^2-5x+6}$

7. $f(x)=\sqrt{17x}+5x-3$

8. $f(x)=\sqrt[6]{x^2-4x+3}$

9. $f(x)=\ln(x-5)$

10. $f\left(x\right)=\ln\left(6x-x^2-9\right)$

11. $f(x)=\mathrm{log}_6(x^3-7x)$

12. $f\left(x\right)=5x\;\tan\left(x\right)$

13. $f\left(x\right)=7x^2\tan\left(2-x\right)$

14. $f\left(x\right)=\left(x+5\right)\;\tan\;\left(x^2-\frac12\pi\right)$

15. $f\left(x\right)=\dfrac1{\sqrt{x^2+6x+9}}$

16. $f\left(x\right)=\dfrac{\lg\left(x^2-x\right)}{\sqrt{x+2}}$

17. $f\left(x\right)=\dfrac{1+3x+33x^2}{\sin\left(x\right)}$

18. $f\left(x\right)=\dfrac{12345}{1-\sin\left(x-\frac12\pi\right)}$