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What is the multiplicative inverse of -4x?

a) -1/4x
b) -4x
c) 1/4x
d) (-4x)^2

1 Answer

4 votes

Final answer:

The multiplicative inverse of -4x is 1/4x, which is obtained by dividing 1 by -4x and simplifying to remove the negative sign from the denominator.

Step-by-step explanation:

The multiplicative inverse of a number is defined as a number which, when multiplied with the original number, will result in 1. Applying this definition, we want to find the multiplicative inverse of -4x. If we multiply -4x by its inverse, we should get 1:

(-4x) * (multiplicative inverse of -4x) = 1
Now, to find the inverse, we divide 1 by -4x:

1 / (-4x)
This simplifies to -1/4x. However, we want our answer to not have a negative sign in the denominator, so we multiply the numerator and denominator by -1 which gives us the positive inverse 1/4x, which is option c).

User Matej Hlavaj
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