diketahui f(x)=x+2 dan g(x)=2x-1, untuk x E R tentukan fungsi-fungsi berikut
a. (f+g)(x)
b. (f-g) (x)
c. (fxg) (x)
d. (f/g)(x) ![]()
a. (f+g)(x)
b. (f-g) (x)
c. (fxg) (x)
d. (f/g)(x)
❐ Fungsi
_____________________________
(f + g)(x)
= f(x) + g(x)
= (x + 2) + (2x - 1)
= 3x + 1
—
(f - g)(x)
= f(x) - g(x)
= (x + 2) - (2x - 1)
= -x + 3
—
(f x g)(x)
= f(x) x g(x)
= (x + 2)(2x - 1)
= 2x² + 3x - 2
—
(f / g)(x)
= f(x) / g(x)
= (x + 2) / (2x - 1)
Domain fungsi
2x - 1 ≠ 0
2x ≠ 1
x ≠ 1/2
Df = {x | x ≠ 1/2, x ∈ R}
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