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Need help finding the following.

Need help finding the following.-example-1

1 Answer

4 votes

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

User Hesham Shawky
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