If h(x) = x – 7 and g(x) = x2, find the value that is equivalent to (g*h)(5)?
We will use the concept of functions in order to find the required answer.
Answer: (g*h)(5) = -50
Let us see how we will use the concept of functions in order to find the required answer.
Explanation:
We have been given two functions, h(x) = x – 7 and g(x) = x2
(g * h) (x) = g(x) × h(x)
= x3 - 7x2
Substitute 5 for x in (g * h) (x) = x3 - 7x2 to find (g * h)(5).
(g * h)(5) = 53 - 7× 52 = -50
Hence, (g * h)(5) = -50
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