Matematika Sekolah Menengah Atas 1. diketahui f(x) = x ² + 2x+ 5 g (x) = 2 x² - x + 3ditanyakan:a) (f+g) (x)b) (f-g) (x)c) (fxg) (x)d (f÷g) (x)2. diketahui f(x) = x² - 12x + 6 g(x) = 2x + 1ditanyakan:a) (f+g) (x)b) (f-g) (x)c) (fxg) (x)d (f÷g) (x)​

martinaschmittulv – May 11, 2023

1. diketahui f(x) = x ² + 2x+ 5
g (x) = 2 x² - x + 3

ditanyakan:
a) (f+g) (x)
b) (f-g) (x)
c) (fxg) (x)
d (f÷g) (x)

2. diketahui f(x) = x² - 12x + 6
g(x) = 2x + 1

ditanyakan:
a) (f+g) (x)
b) (f-g) (x)
c) (fxg) (x)
d (f÷g) (x)​

Penjelasan dengan langkah-langkah:

a.

(f + g)(x) = f(x) + g(x)

(f + g)(x) = x² + 3 + x - 5

(f + g)(x) = x² + x - 2

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(f – g)(x) = f(x) – g(x)

(f – g)(x) = x² + 3 – x - 5

(f – g)(x) = x² - x - 2

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(f × g)(x) = f(x) . g(x)

(f × g)(x) = (x²+3) (x-5)

(f × g)(x) = x³ - 5x² + 3x - 15

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b.

(f + g)(0) = x² + x - 2

(f + g)(0) = 0² + 0 - 2

(f + g)(0) = -2

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(f – g)(1) = x² - x - 2

(f – g)(1) = 1² - 1 - 2

(f – g)(1) = -2

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(f × g)(2) = x³ - 5x² + 3x - 15

(f × g)(2) = 2³ - 5(2)² + 3(2) - 15

(f × g)(2) = 8 - 20 + 6 - 15

(f × g)(x) = -21

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= - 6