Diketahui fungsi f:R-R dan g: R-R dirumuskan denganF(x)=3x²+x-7 dan g(x)=2x + 1 , maka (gof)(x) =a.3.... Question from @rahmaoktaviani589

May 2022 1 5 Report

Diketahui fungsi f:R-R dan g: R-R dirumuskan dengan
F(x)=3x²+x-7 dan g(x)=2x + 1 , maka (gof)(x) =
a.3x²+2x+14
B.3x2 + 2x - 14
C.6x²+2x + 14
D. 6x²+2x+13
E.6x2 +2x-13

Gusti2601

$\mathbb \color{aqua} \underbrace{JAWABAN}$

E. 6x² + 2x - 13

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$\mathbb \color{orange} \underbrace{PENYELESAIAN}$

$\underline{ \overline{ \boxed{ \bold{diketahui}}}}$

f(x) = 3x² + x - 7
g(x) = 2x + 1

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

(g o f)(x)

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

$\begin{aligned} \sf (g \circ f)(x) &= \sf g(f(x)) \\ &= \sf g(3 {x}^{2} + x - 7) \\ &= \sf 2(3 {x}^{2} + x - 7) + 1 \\ &= \sf {6x}^{2} + 2x - 14 + 1 \\ &= \bold{{6x}^{2} + 2x - 13} \end{aligned}$

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$\mathbb \color{red} \underbrace{KESIMPULAN}$

Jadi, nilai (g o f)(x) adalah 6x² + 2x - 13

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