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3 years ago

F(x) = x+ + 3 g(x) = 4x - 3 Given the functions below find (f*g)(-1)

Mathematics

1 answer:

Mashutka [201]3 years ago

3 0

(f×g)(-1) is -14.

Step-by-step explanation:

Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

⇒ (f×g)(x) = 4x² + 9x - 9

Step 2: Find (f×g)(-1) by substituting -1 in the place of x

⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9

⇒ (f×g)(-1) = 4 - 9 - 9 =-14

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Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

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Step-by-step explanation:

Given

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Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

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But the question says the answer should be in kg

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Step-by-step explanation:

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