Diketahui f(x)=2x-5 dan g(x)=x^2+3x-2, Nilai (g∘ f)(4)=


Diketahui $f(x)=2x-5$ dan $g(x)=x^2+3x-2$, nilai $(g\circ f)(4)=$...

A. $16$

B. $18$

C. $23$

D. $35$

E. $47 $

Penyelesaian

Diketahui:

$f(x)=2x-5$

$g(x)=x^2+3x-2$

Ditanya:$(g\circ f)(4)=$

Jawab

$(g\circ f)(x)=(2x-5)^2+3(2x-5)-2$

$(g\circ f)(x)=4x^2-20x+25+6x-15-2$

$(g\circ f)(x)=4x^2-14x+8$

$(g\circ f)(4)=4(4^2)-14(4)+8$

$(g\circ f)(4)=64-56+8=16$

Jawaban : A

Muda Berkarya Intelektual Normatif