16. Diketahui fungsi: R→R dan g:R→R dengan rumus fx=1×2-8x+15 dan gx=x-3. Rumus fungsi (f . g)(x) adalah….​

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16. Diketahui fungsi: R→R dan g:R→R dengan rumus fx=1×2-8x+15 dan gx=x-3. Rumus fungsi (f . g)(x) adalah….​

mathbb color{aqua} underbrace{JAWABAN}

x³ – 11x² + 39x – 45

——————

mathbb color{orange} underbrace{PENYELESAIAN}

underline{ overline{ boxed{ bold{diketahui}}}}

  • f(x) = x² – 8x + 15
  • g(x) = x – 3

\ underline{ overline{ boxed{ bold{ditanya}}}}

  • (f . g)(x)

\ underline{ overline{ boxed{ bold{jawab}}}}

begin{aligned} tt (f : . : g)(x) &= tt f(x) : . : g(x) \ &= tt ( {x}^{2} - 8x + 15)(x - 3) \ &= tt {x}^{3} - {3x}^{2} - {8x}^{2} + 24x + 15x - 45 \ &= bf {x}^{3} - {11x}^{2} + 39x - 45 end{aligned}

——————

mathbb color{red} underbrace{KESIMPULAN}

Jadi, hasil dari (f . g)(x) adalah x³ – 11x² + 39x – 45

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