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3 years ago

F(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

The answer are

${f}^{ - 1} (x) = \frac{x + 3}{x - 2}$

${f}^{ - 1} ( - 3) = 0$

Step-by-step explanation:

To find the infers we do that

$f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0$

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Answer:

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Step-by-step explanation:

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3 years ago

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luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

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Note that:

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$25-10y=100$

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Add 15/2 to both sides:

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3 years ago

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Sliva [168]

Answer:

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Step-by-step explanation:

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Transformations:

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