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3 years ago

Let f(x) = x2 and g(x) = x - 3. Evaluate (gºf)(-2). A. -20 B. 20 C. 7 D. 1

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as <em>x</em>

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

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Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in second

Hitman42 [59]

The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

$\rm h(t)= -16t^2+72t$

Making perfect square:

$\rm h(t)= -[(4t)^2-72t+9^2 -9^2]$

$\rm h(t)= -[(4t-9)^2 -81]$

$\rm h(t)= 81-(4t-9)^2$

The highest point will be when term (4t-9)² becomes zero

So the highest point = 81 feet, and it takes:

t = 9/4 seconds

Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

Learn more about the parabola here:

brainly.com/question/8708520

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2 years ago

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quester [9]

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I believe the answer is 40%

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