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2 years ago

Identify the inverse g(x) of the given relation f(x).

Mathematics

1 answer:

puteri [66]2 years ago

7 0

Answer:

"g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4)"

Step-by-step explanation:

A simple property of inverse functions is that:

Whenever a function/relation is given in the form of ordered pair such as:

f(x) = (a,b), (c,d)

the inverse of that, e.g. g(x), would be simply changing the first and second values (interchange). Thus

g(x) = (b,a), (d,c)

So, from the relation f(x) given, if we change the first and 2nd values, we would get:

{(3, 8), (1, 4), (-1,0), (-3, 4)

This is the 4th answer choice, hence that is correct.

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What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?

IRINA_888 [86]

Answer:

$3\sqrt{2}$

Step-by-step explanation:

For the complex number $a+bi,$ the absolute value is $\sqrt{a^2+b^2}$

Given the complex number $-4-\sqrt{2}i.$ For this complex number,

$a=-4\\ \\b=-\sqrt{2},$

then the absolute value is

$\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}$

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2 years ago

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On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on

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Number of tickets sold on
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2 years ago

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HURRY! Which table represents a linear function?

jeka94

Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one. $x$ is increasing by 1, and $y$ is increasing by 0.5.

Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1, $\frac{1}{2}$ ) and $(2,1)$ .
Next, use the slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }$
We know for our points that $y_{2}=1$ , $y_{1}= \frac{1}{2}$ , $x_{2}=2$ , and $x_{1}=1$ , so lets replace those point in our formula to find $m$ :
$m= \frac{1- \frac{1}{2} }{2-1}$
$m= \frac{1}{2}$

Finally, we can use the point slope formula $y-y_{1}=m(x-x_{1})$ to find our equation:
$y- \frac{1}{2} = \frac{1}{2} (x-1)$
$y- \frac{1}{2} = \frac{1}{2} x- \frac{1}{2}$
$y= \frac{1}{2}x$

We can conclude that the first table represents a linear function, and its equation is $y= \frac{1}{2}x$

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2 years ago

fourteen boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one

shtirl [24]

Well if you add 14 and 21 you get 35. with 35 you can have 7 groups of 5 but if they have to be equal with the number of boys and girls in each group it would still be 7. two boys in each group with three girls in each group.

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2 years ago

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree

Ilya [14]

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