Archaeologists use models for the relationship between height and footprint length to determine the height of...

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Archaeologists use models for the relationship between height and footprint length to determine the height of a person based on the lengths of the bones they discover. The relationship between height, h(x) in centimeters and footprint length, x in centimeters is given by h(x) = 6x + 72. Use the relationship above to answer the following questions. (a) (b) (c) Determine the inverse function, h-¹ (x). Compute the (h(x) · g(x)), given g(x) = 3x² + 5. [5 Marks] [5 Marks] By using the answer from Question 4(a), predict the footprint length for a person who is 150cm and 170cm tall. Give reasons of your answer. [5 Marks] [Total: 15 Marks] Archaeologists use models for the relationship between height and footprint length to determine the height of a person based on the lengths of the bones they discover. The relationship between height, h(x) in centimeters and footprint length, x in centimeters is given by h(x) = 6x + 72. Use the relationship above to answer the following questions. (a) (b) (c) Determine the inverse function, h-¹ (x). Compute the (h(x) · g(x)), given g(x) = 3x² + 5. [5 Marks] [5 Marks] By using the answer from Question 4(a), predict the footprint length for a person who is 150cm and 170cm tall. Give reasons of your answer. [5 Marks] [Total: 15 Marks]