Answer:
Given the functions below, f(2) - g(-7) is -34.
Step-by-step explanation:
f(2) - g(-7)
First solve f(2).
f(x) = -|3 - 8x|
Substitute variable.
f(2) = -|3 - 8(2)|
Multiply.
f(2) = -|3 - 16|
Subtract 16 from 3.
f(2) = -|-13|
Apply absolute value.
f(2) = -13
Now solve g(-7).
g(x) = x² + 4x
Substitute variable.
g(-7) = (-7)² + 4(-7)
Raise -7 to the second power.
g(-7) = 49 + 4(-7)
Multiply 4 and -7.
g(-7) = 49 - 28
Subtract 28 from 49.
g(-7) = 21
Now with those values, lets go back to our original equation.
f(2) - g(-7)
Substitute known values.
-13 - 21
Subtract 21 from -13.
-34.
