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 6 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

------------------

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

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

f(x) = 3x² + x - 7
g(x) = 2x + 1

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

(g o f)(x)

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

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

------------------

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

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

$\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}$