f(x) = 1/akar x dan g(x) = 1/akar x² maka f(x) +g(x) =?
Matematika
diandra052
Pertanyaan
f(x) = 1/akar x dan g(x) = 1/akar x² maka f(x) +g(x) =?
1 Jawaban
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1. Jawaban BayuTc
[tex]f(x) = \frac{1}{ \sqrt{x} } \\ g(x) = \frac{1}{ \sqrt{ {x}^{2} } } \\ f(x) + g(x) \\ = \frac{1}{ \sqrt{x} } + \frac{1}{ \sqrt{ {x}^{2} } } \\ = \frac{1}{ \sqrt{x} } + \frac{1}{x} \\ = \frac{x + \sqrt{x} }{x \sqrt{x} } \\ = \frac{(x + \sqrt{x}) \sqrt{x} }{ {x}^{2} } \\ = \frac{x \sqrt{x} + x }{ {x}^{2} } \\ = \frac{x( \sqrt{x} + 1) }{ {x}^{2} } \\ = \frac{ \sqrt{x} + 1 }{x} [/tex]