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Marina86 [1]
3 years ago
12

Consider the function represented by the equation y-x-4=0. What is the equation written in the function notation, with x as thee

independent variable?
Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
Function notation is a way of writing equations that has a form:

f(x)=ax+b, where x is the independent variable, f(x) is the output of the function, a and b are constants. 

So if we have an equation: y-x-4=0, first we leave y on the left side and put everything else on the right side:

y=x+4, then we can write it in function notation as:

f(x)=x+4, where f(x) corresponds to y. 
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The variable in a relation who’s value depends on the value of the independent variable is called what?
Viefleur [7K]
That is called the dependent variable. It depends upon the value of the independent variable.

f(x)=y

So we can see by inspection that the dependent variable y value depends upon the input value of the independent variable x

Any questions please feel free to ask. Thanks
3 0
3 years ago
If f(x) and its inverse function, F(x), are both plotted on the same coordinate plane, what is their point of intersection?
polet [3.4K]

Answer:  d) (3, 3)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's.

Let's look at the points and find their inverse:

  f(x)           f⁻¹(x)

(0, -2)  -->  (-2, 0)

(1, -1)   -->   (-1, 1)

(2, 0)  -->   (0, 2)

(3, 3)   -->   (3, 3)       f(x) = f⁻¹(x) so this is where they intersect!

5 0
3 years ago
Find the inverse of the given function. (pictured below)
zavuch27 [327]

Answer:

4

3

0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x+3)

2y = -sqrt(x+3)

4y² = x + 3

x = 4y² - 3

now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :

f-1(x) = 4x² - 3

basically, just by itself, this function would be defined for all possible real values of x.

but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x

x<=0

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3 years ago
The area of a parallelogram is 8√90 the base is 2√5. What is the<br> height of the parallelogram?
Vsevolod [243]

Step-by-step explanation:

Area of the Parallogram =bh

8√90=2✓5*h

12✓2=h

...................

3 0
3 years ago
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Mademuasel [1]
You didn’t show us the answers we can choose, how do we solve it then
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