The reciprocal of any number or expression is one divided by that number or expression. In this case, you can also write -x + 3 as 3 - x; the reciprocal would be 1 / (3 - x). The parentheses are necessary, to indicate that you want to divide 1 by the entire expression. But if you write it in fraction form, with "3 - x" on the bottom, no parentheses are required.
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3 x 1/3 = 1 (1/3 is multiplicative inverse or reciprocal of 3)
- - x + 3 = x + 3
The reciprocal of a fraction is obtained by interchanging the numerator and the denomator, i.e. by inverting the fraction. So, the number 3 (which is 3/1) would have a reciprocal of 1/3 And the reciprocal of 1/3 would be 3/1 ... or 3.
Without an equality sign and not knowing the plus or minus value of 9y it can't be considered to be a straight line equation. But in general the perpendicular slope is the reciprocal of the slope of the equation. As for example if the slope was 3 then its reciprocal is -1/3. And if its slope was -3 then its reciprocal would be +1/3
(x+3)(x+4) = x2+7x+12