Question

Let f(x) = −3x − 15 and g(x) = 6x − 18.

(a) Find f(6) − g(6).

Answer 1

To find f(6) - g(6), substitute x = 6 into the given equations for f(x) and g(x) and then subtract the values obtained.

Step-by-step explanation:

To find f(6) - g(6), we first need to evaluate f(6) and g(6).

Given f(x) = -3x - 15, we substitute x = 6 into the equation to find f(6).

f(6) = -3(6) - 15 = -18 - 15 = -33.

Similarly, given g(x) = 6x - 18, we substitute x = 6 into the equation to find g(6).

g(6) = 6(6) - 18 = 36 - 18 = 18.

Now we can find f(6) - g(6) by subtracting the values we obtained: f(6) - g(6) = -33 - 18 = -51.