Given the function f(x) = 4x, which statements are true? Check all that apply. The additive inverse is –4x. The additive inverse
is 4x. The multiplicative inverse is Negative one-fourth x. The multiplicative inverse is StartFraction 1 Over 4 x EndFraction. f Superscript negative 1 Baseline (x) = negative one-fourth x f Superscript negative 1 Baseline (x) = one-fourth x
The additive inverse is when you switch the sign. The additive inverse of 4x is -4x. A number added to its additive inverse is equal to 0.
The multiplicative inverse is also known as the reciprocal, and it is where you flip the numerator and denominator. If you multiply a number by its reciprocal, it equals 1. The multiplicative inverse 4x would be 1/4x.
