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4 years ago

Are the functions f(x) and g(x) inverse of one another?

Mathematics

1 answer:

lozanna [386]4 years ago

8 0

<h2>Answer:</h2><h2></h2><h3>No!</h3><h2></h2><h2>Explanation:</h2><h2></h2>

The function $f(x)$ doesn't have inverse because it doesn't pass the horizontal line test. This test tells us that a function $f$ has an inverse function<em> if and only if</em> there is no any horizontal line that intersects the graph of $f$ at more than one point. As you can see, from the graph of f (the red one), if you draw an horizontal line that passes through $y=4$ then this line will touch the graph of f at three points, so the horizontal line test is not satisfied here. If you see the graph of g, this doesn't represent a function because there is at least one vertical line that touches the graph at more than one point, so this relation is not a function.

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Find the APY corresponding to the following nominal rate. 2% compounded quarterly The APY is ____%. (Type an integer or a dec

FrozenT [24]

Answer:

2.02%.

Step-by-step explanation:

We are asked to find the Annual Percentage Yield (APY) for the nominal rate of 2% compounded quarterly.

We will use APY formula to solve our given problem.

$APY=(1+\frac{r}{n})^n-1$ , where,

r = Stated annual interest rate in decimal form,

n = Number of times interest is compounded per year.

$2\%=\frac{2}{100}=0.02$

Compounded quarterly means that the value of n is 4.

$APY=(1+\frac{0.02}{4})^4-1$

$APY=(1+0.005)^4-1$

$APY=(1.005)^4-1$

$APY=1.020150500625-1$

$APY=0.020150500625$

Let us convert 0.020150500625 to percent as:

$0.020150500625\times 100\%=2.0150500625\%\approx 2.02\%$

Therefore, the required APY would be 2.02%.

$APY\approx 0.020150500625$

8 0

3 years ago

Solve and graph <br> -4 + 2t - 14 - 18t > -6 - 100t

irina [24]

Okay so first u just add the terms on each side
2t-18>-6-100t
2(t-9)>2(-3-50t)
t-9>-3-50t
51t>6
t>6/51
t>2/17
so just take a number line put an empty circle like this : O on 2/17 and draw a line showing it continues to the right infinitely. Sorry if my math is wrong lol i am functioning on one hour of sleep.

7 0

3 years ago

What is the sum of 15 and the product of 5 and v as an algebraic expression?

jenyasd209 [6]

1. y - 12
<span>2. y= 15c </span>
<span>3. y= 17/k </span>
<span>4. y= v + 3 </span>
<span>5. y= t/82 </span>
<span>6. y= 13 + 2h </span>
<span>7. y= 6.7 + 5n </span>
<span>8. y= 7 - 3/v </span>

7 0

3 years ago

What is a net and how can you use it to help you find the surface area of a 3-Dimensional figure?

Gemiola [76]

Answer:Surface Area of a Solid

The surface area of a 3-dimensional object is the measure of the total area of all its faces. This means that one way to find the surface area of a solid is to find the area of its net. The surface area of a rectangular prism is the area of the six rectangles that cover it.

Step-by-step explanation:

6 0

3 years ago

If the diameter of a circle is 142.8 milimeters, then what is the radius

Katen [24]

O raio é de 71,4 milímetros
142,8mm/2 = 71,4

3 0

3 years ago