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Korolek [52]
3 years ago
11

Which is the inverse of the function f(x) = x^2 − 4?

Mathematics
1 answer:
klemol [59]3 years ago
4 0

f(x) = x^2 - 4

<em><u>Replace f(x) with y</u></em>

y = x^2 - 4

<em><u>Switch x and y.</u></em>

x = y^2 - 4

<em><u>Solve for y.</u></em>

<em><u>Add 4 to both sides.</u></em>

x + 4 = y^2

<em><u>√ both sides.</u></em>

√(x + 4) = y

<em><u>Switch sides, and replace y with f^-1(x)</u></em>

<u>f^-1(x) = √(x + 4)</u>

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ivann1987 [24]

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

3 0
3 years ago
The experimental probability that it will rain on any given day in Houston,Texas is about 15%. Out of 365 days, about how many d
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15% of 365
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3 0
3 years ago
Question 3
Galina-37 [17]

(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².

(b) The time for the ball to hit the ground is 3.15 s.

(c) The time for the ball to travel 56 ft above the ground is 0.79 s.

<h3>Vertical motion equation for the ball</h3>

The vertical motion equation for the ball is calculated as follows;

h = h₀ + vt - ¹/₂gt²

h = 8 + 48t - ¹/₂(32)t²

h = 8 + 48t - 16t²

<h3>Time for the ball to hit the ground</h3>

0 = 8 + 48t - 16t²

solve the above quadratic equation with formula method;

a = -16, b = 48, c = 8

t = 3.15 s

<h3>Time for the ball to be 56 ft above the ground</h3>
  • let upward motion be positive

h = 8 + 48t + 16t²

56 = 8 + 48t + 16t²

0 = -48 + 48t + 16t²

solve the above quadratic equation with formula method;

a = 16, b = 48, c = -48

t = 0.79 s

Learn more about equation of motion here: brainly.com/question/25951773

#SPJ1

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3 years ago
A bag has four green marbles, three red marbles, and three yellow marbles. What is the probability that you pick a green marble,
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So you have 10 marbles all together. you remove one and dont replace it. it will be 3/9 which simplifies to 1/3.
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