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Licemer1 [7]
2 years ago
6

Keith used the following steps to find the inverse of f, but he thinks he made a error

Mathematics
1 answer:
astra-53 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

\Large \boldsymbol{} f(x)  \ \ inverse  \ \  function    \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7}  \ \  or \  \  f(x)^{-1}= \dfrac{x-5}{7}

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Arisa [49]

The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)

<h3>How to simplify Quadratic Expressions?</h3>

We want to determine the two rational expressions whose difference completes the equation.

The two rational expressions will be;

(x + 2)/(x² - 36) and 1/(x² + 6x)

Now, this can be proved as follows;

Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Step 3; By subtracting, we have;

[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Step 4; By further simplification of step 3, we have;

[x² + x + 6]/[x(x-6)(x + 6)]

Read more about Quadratic Expressions at; brainly.com/question/1214333

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Step-by-step explanation:

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2 years ago
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