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brilliants [131]
3 years ago
10

G = {(5, 3), (2, 3), (6, 4)} G-1 is a function. True False

Mathematics
1 answer:
Travka [436]3 years ago
4 0
Answer: False

---------------------------------------
---------------------------------------

When computing the inverse g^(-1), we simply swap all x and y values. So we go from (x,y) to (y,x) effectively. The function
g(x) = {(5,3), (2,3), (6,4)}
has the inverse
g^(-1)(x) = {(3,5), (3,2), (4,6)}
this inverse is a relation but it is NOT a function. 

Why isn't it a function? Because we have the two points (3,5) and (3,2) with repeated x values. These two points will violate the vertical line test. A function must have all inputs lead to exactly one output. But the input of x = 3 leads to y = 5 and y = 2 simultaneously. 

Side Note: The original function g(x) fails the horizontal line test so it is NOT one-to-one, making an inverse function not possible.

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Ratling [72]

Answer:

  • f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

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<h3>To find</h3>
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<h3>Solution</h3>

<u>Slope-intercept formula</u>

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<u>So the function is</u>

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6 0
3 years ago
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near
Vedmedyk [2.9K]

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

4 0
3 years ago
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Answer:

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What is the solution to 2x2+8x=x2-16? x=-4 x=-2 x=2 x=4
andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

8 0
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