Question

Given f(x) 6(1 - x), what is the value of f(-8)?

Option 1: f(-8) = 48
Option 2: f(-8) = -48
Option 3: f(-8) = 54
Option 4: f(-8) = -54

Answer 1

Given the function f(x) = 6(1 - x), after substituting x with -8 and simplifying, we find that f(-8) equals 54 Option 3.

Step-by-step explanation:

Calculating the Value of f(x) for a Given x

Given the function f(x) = 6(1 - x), we are asked to find the value of f(-8). To find this, we substitute x with -8 into the function:

f(-8) = 6(1 - (-8))

Now, we apply the rules of operations with negative numbers. According to the example provided, when subtracting a negative number, it is the same as adding its positive counterpart:

f(-8) = 6(1 + 8)

f(-8) = 6(9)

Now, multiply 6 by 9:

f(-8) = 54

Therefore, the correct value of f(-8) is 54, which corresponds to Option 3.