Question

Consider the linear function f(x) = 3x-1. Find the value of x when f(x)=-4, f(x)=8, f(x)=0.

PLEASE HELP NEED ANSWERS QUICK!!!!!!!!!!!!!

Answer 1

x = -1 when f(x) = -4

x = 3 when f(x) = 8

x = 1/3 when f(x) = 0

Explanation:

To find the value of x when f(x) = -4, we can substitute -4 for f(x) in the equation f(x) = 3x-1 and solve for x.

-4 = 3x - 1

-3 = 3x

x = -3/3

x = -1

Therefore, the value of x when f(x) = -4 is -1.

`\hrulefill`

To find the value of x when f(x) = 8, we can substitute 8 for f(x) in the equation f(x) = 3x-1 and solve for x.

8 = 3x - 1

9 = 3x

x = 9/3

x = 3

Therefore, the value of x when f(x) = 8 is 3.

`\hrulefill`

To find the value of x when f(x) = 0, we can substitute 0 for f(x) in the equation f(x) = 3x-1 and solve for x.

0 = 3x - 1

1 = 3x

x = 1/3

Therefore, the value of x when f(x) = 0 is 1/3.

Answer 2

The value of x when f(x) = -4 is x = -1.

The value of x when f(x) = 8 is x = 3.

The value of x when f(x) = 0 is x = 1/3.

Explanation:

To find the value of x when f(x) = -4, f(x) = 8, f(x) = 0 for the linear function f(x) = 3x - 1, we can substitute these values in place of f(x) and solve for x.

`\begin{aligned}f(x)&=-4\\3x-1&=-4\\3x-1+1&=-4+1\\3x&=-3\\3x/ 3&=-3 / 3\\x&=-1\end{aligned}`

`\begin{aligned}f(x)&=8\\3x-1&=8\\3x-1+1&=8+1\\3x&=9\\3x/ 3&=9 / 3\\x&=3\end{aligned}`

`\begin{aligned}f(x)&=0\\3x-1&=0\\3x-1+1&=0+1\\3x&=1\\3x/ 3&=1 / 3\\x&=(1)/(3)\end{aligned}`

Therefore:

• The value of x when f(x) = -4 is x = -1.
• The value of x when f(x) = 8 is x = 3.
• The value of x when f(x) = 0 is x = 1/3.