Dik fungsi f(x) =√x+3 dan g(x)= 3x-5 / x-3, x /= 3 daerah asal (g o f)(x)

By Admin ReiPosted on December 10, 2022

Dik fungsi f(x) =√x+3 dan g(x)= 3x-5 / x-3, x /= 3 daerah asal (g o f)(x)

$(gof)(x) \ \ = g(f(x)) \ \ = g( sqrt{x + 3} ) \ \ = frac{3( sqrt{x + 3} ) - 5}{ sqrt{x + 3} } \ \ = frac{3 sqrt{x + 3} - 5}{ sqrt{x + 3} } times frac{ sqrt{x + 3} }{ sqrt{x + 3} } \ \ = frac{3(x + 3) - 5 sqrt{x + 3} }{x + 3} \ \ = frac{3x + 3 - 5 sqrt{x + 3} }{x + 3}$

Semoga Membantu