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AlekseyPX
3 years ago
7

Help please! i need to find the restrictions to this expression

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

x = 7, x = \frac{-1}{5}

Step-by-step explanation:

A restriction can only be found in the denominators and this is when x is a certain number that when plugged in, makes the expression 0 (this makes it undefined, which you cannot have).

<em><u>Since we are only looking at the denominator, you can just ignore the numerator:</u></em>

(x - 7) (5x + 1)

<em><u>To find the restrictions, you must set them equal to 0:</u></em>

x - 7 = 0

5x + 1 = 0

<em><u>Then, solve:</u></em>

x - 7 = 0                                                                                        5x + 1 = 0

  + 7   + 7                                                                                            - 1   - 1

________                                                                                    ________

x = 7                                                                                                 5x = -1

                                                                                                          x = \frac{-1}{5}

If you plug these numbers in, the total outcome would come out to be 0, making the expression undefined, proving that these are the restrictions of the expression.

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