Given
... m(x) = x³
Based on the answer choices, we assume that
... n(x) = √(6+x)
as opposed to (√6) +x.
Find
... (m-n)(-5)
Solution
The given notation indicates you are to find the difference of the two function values when each is evaluated for x=-5. Here, we'll evaluate both functions, then find the difference of the results.
... m(-5) = (-5)³ = (-5)(-5)(-5) = -(5³) = -125 . . . . . multiplying an odd number of minus signs gives a negative result
... n(-5) = √(6 -5) = √1 = 1
Then
... (m -n)(-5) = m(-5) -n(-5) = (-125) -(1) = -126
The appropriate choice is ...
... A. -126
