Question

Consider the function defined by:

LaTeX: f(x) = 6x-2f ( x ) = 6 x − 2
a. LaTeX: f(2) = f ( 2 ) =
b. LaTeX: f(-2)=f ( − 2 ) =

Answer 1

To find the values of the function f(x) = 6x - 2 for f(2) and f(-2), you substitute the given values into the function and simplify. The calculation shows that f(2) equals 10, and f(-2) equals -14.

Step-by-step explanation:

The question asks to compute the values of the function f(x) = 6x - 2 for f(2) and f(-2).

Step-by-step calculation for f(2):

Substitute x with 2: f(2) = 6(2) - 2.

Multiply: 6 times 2 equals 12.

Then, subtract 2 from 12 to get the answer.

The resulting value is 10, so f(2) = 10.

Step-by-step calculation for f(-2):

• Substitute x with -2: f(-2) = 6(-2) - 2.
• Multiply: 6 times -2 equals -12.
• Subtract 2 from -12 to get the answer.

The resulting value is -14, so f(-2) = -14.