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4vir4ik [10]
3 years ago
8

If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for

the input variable to find the inverse.
TRUE
OR
FALSE
?
Mathematics
2 answers:
grandymaker [24]3 years ago
5 0
For the answer to the question, i<span>f a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the input variable to find the inverse.

The answer is Simply true. But in real life it's false.

I hope my answer helped you.</span>
Usimov [2.4K]3 years ago
4 0

Answer:

<h2>False.</h2>

Step-by-step explanation:

When we talk about the input variable, it refers to the independent variable which most of the time is expressed as <em>x</em>. That means the output variable often refers to <em>y</em>, because that's the image or range.

So, in this case, if we want to find the inverse of a function, we just have to solve for <em>x, </em>that is, for the input variable. For example, if we have the following function

h=2t

The input variable would be t, so the inverse would be found by solving for that variable

t=\frac{h}{2}

<em>However, we need to switch the position of variables to find the inverse function as follows</em>

h=\frac{t}{2}

Therefore, to the inverse of a function we certainly have to solve for the input variable, but then we need to do an extra step, swtich variable's position, that's why this statement is false, because it doesn't express the full process.

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the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70
viva [34]
------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
70 = 2(5x + 2x)
70 = 2(7x)
70 = 14x
14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
Length = 5(5) 
Length = 25

Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------
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