Question

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

Answer 1

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).

Since we are only looking at the denominator, you can just ignore the numerator:

(x - 7) (5x + 1)

To find the restrictions, you must set them equal to 0:

x - 7 = 0

5x + 1 = 0

Then, solve:

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.