The value of the composite function (h - k)(3) is √6 + 1
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From the question, we have:
h(x) = √x + 3
k(x) = 2x + 7
To calculate the composite function (h - k)(3), we make use of the following formula
(h - k)(3) = h(3) - k(3)
This gives
(h - k)(3) = √(3 + 3) - 2(3) + 7
Evaluate the sum and the products
(h - k)(3) = √6 - 6 + 7
Evaluate the like terms
(h - k)(3) = √6 + 1
Hence, the value of the composite function (h - k)(3) is √6 + 1
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