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

Respuesta :

Answer:

The correct statement is the additive inverse is -4x.

Given that,

The function f(x) = 4x,

We have to find,

Which statements are true?

According to the question,

1. The additive inverse is composed of the terms which hold an opposite sign of the equivalent function.

Then, The additive inverse of f(x) = 4x is -4x.

2. The multiplicative inverse of the function is the inverse of the additive inverse.

Then, The multiplicative inverse of f(x) = 4x is 1/-4x.

3. And The value of f(x) when f(x) is -1 ,

The value of f(-1) is,

\begin{gathered}f(x) = 4x\\\\f(-1) = 4(-1)\\\\f(-1) =-4\end{gathered}

f(x)=4x

f(−1)=4(−1)

f(−1)=−4

The value of f(-1) is 4.

Hence, The correct statement is the additive inverse is -4x.

Answer: A, D, F

Step-by-step explanation:

The additive inverse is –4x.

The multiplicative inverse is  StartFraction 1 Over 4 x EndFraction.

f Superscript negative 1 Baseline (x) = one-fourth x