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Mathematics, 06.10.2021 14:00 milly1903

1. The function $f$ satisfies
\[f(\sqrt{x + 1}) = \frac{1}{x}\]for all $x \ge -1,$ $x\neq 0.$ Find $f(2)$.

2.
Let
\[f(x) = \frac{3x - 7}{x + 1}.\]Find the domain of $f$. Give your answer using interval notation.

3.
Let
\[f(x) = \frac{3x - 7}{x + 1}.\]Find the range of $f$. Give your answer as an interval.

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Answers: 2

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1. The function $f$ satisfies
\[f(\sqrt{x + 1}) = \frac{1}{x}\]for all $x \ge -1,$ $x\neq 0....
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