Question

jika diketahui f(x) = x²+2x dan g(x) = x-1. nilai (g 0 f)(x) adalah...
a. x²-2x
b. x²-2x-1
c. x²-2x+1
d. x²+2x-1
e.2x²-x+1​

Answer 1

Jawaban:

d.x² + 2x-1

Penjelasan dengan langkah-langkah:

f(x) = x² + 2x

g(x)=x-1

maka, (gof)(x)

= (x² + 2x) − 1 = = x+2x-1

Answer 2

Fungsi Komposisi

Penyelesaian:

[tex]f(x)=x^2+2x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\begin{align}(g\circ f)(x)&=g(f(x))\\&=(f(x))-1\\&=(x^2+2x)-1\\&=x^2+2x-1\end{align}[/tex]

[tex] \underline{\therefore (g\circ f)(x)=x^2+2x-1}[/tex]

Jawaban: b. x² + 2x - 1