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klio [65]
2 years ago
7

What is the domain of f in the equation F(x)=5/x2-18x+45

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

f(x)=\dfrac{5}{x^2-18x+45}\\\\The\ domain:\\\\x^2-18x+45\neq0\\\\x^2-15x-3x+45\neq0\\\\x(x-15)-3(x-15)\neq0\\\\(x-15)(x-3)\neq0\iff x-15\neq0\ \wedge\ x-3\neq0\\\\\boxed{x\neq15\ \wedge\ x\neq3}\to\boxed{x\in\mathbb{R}-\{3,\ 15\}}

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Answer:

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6x^2-5=17x-\frac{6}{x}

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2 years ago
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