Step-by-step explanation:
if I see this correctly in the fuzzy picture, the functions are multiplied and there is no composition (or staging) of functions (which would be the function of a function of a variable).
since it is a multiplication, the operation is commutative. that means the sequence does not matter.
as
5×4 = 4×5,
so is also function q × function p = function p × function q
therefore, both answers are the same.
as with any other arithmetic operation with functions we do this by applying the multiplication to the expressions.
q×p = sqrt(x + 7) × (x² + 5)
(q×p)(2) = sqrt(2 + 7) × (2² + 5) = sqrt(9) × 9 = 3×9 = 27
and so is
(p×q)(2) = (2² + 5) × sqrt(2 + 7) = ... = 27
