tolong kalau bisa beserta caranya
Jawab:
fungsi
1. f(x) = (2x-6) /(x² + 2x -15)
daeah asal Df(x)
x² + 2x - 15 ≠ 0
(x + 5)(x - 3) ≠ 0
x ≠ - 5 atau x ≠ 3
2) gof(x)= g{ f(x)}
[tex]\sf = 5 \{ \dfrac{x+6}{2x-1}\} + 6[/tex]
[tex]\sf = \dfrac{5(x+6) + 6(2x- 1)}{2x-1}[/tex]
[tex]\sf = \dfrac{5x+30+ 12x- 6}{2x-1}[/tex]
[tex]\sf = \dfrac{17x+24}{2x-1}[/tex]
3) g/h (x) = g(x)/ h(x)
[tex]\sf = \dfrac{x^2 +9x +20}{-x - 4}[/tex]
[tex]\sf = \dfrac{(-x-4)(-x -5)}{-x - 4}[/tex]
[tex]\sf = -x - 5[/tex]
4) f(x) [tex]\sf= \frac{5x-6}{x+2}[/tex]
fungsi invers f⁻¹(x) =
[tex]\sf f^{-1}(x) = \dfrac{2x+ 6}{5 - x}[/tex]
