Question

Which of the following is the multiplicative inverse of 4/3a?

O 3a/4
O 4/3a
O -3a/4
O -4/3a

Answer 1

The multiplicative inverse of a quantity -
`x`, say - denoted by
`x^(*)`, must satisfy the following:


`xx^(*) = 1`,

giving


`x^(*) = (1)/(x)`.

So in this case that
`x = (4)/(3a)`,


`x^(*) = (1)/(((4)/(3a))) = (3a)/(4)`