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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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Natali [406]

Answer:(6, -1)

Step-by-step explanation:

8 0
3 years ago
How do you find the slope of x^2 at x = 5? please hurry
Lorico [155]

The slope of any function is its first derivative.

If  f(x)=x^2, then  f'(x)= 2x .

At  x=5,  slope = f'(x) = 2(5) = <em>10</em> .
5 0
3 years ago
Find the surface area of the cylinder. Type an exact answer in terms of pi.
weqwewe [10]

Answer:

154π cm²

Step-by-step explanation:

Radius (r) = 7 cm

Height (h) = 4 cm

Surface area of cylinder

= 2πr (h + r)

= 2π (7) (4 + 7)

= 2π (7) (11)

= 2π (77)

= 154π cm²

______

Hope it helps ⚜

8 0
2 years ago
Read 2 more answers
Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

)

x

Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

7 0
3 years ago
A business owner noted the features of the 100 cars parked at the business. Here are the results:
AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The probability is  P(4 \ doors | sunroof ) =  0.40

Step-by-step explanation:

 From the question we are told that

        The number of cars packed is  n = 100

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

   This probability is mathematically represented as

               P(4 \ doors | sunroof )

Baye's Rule define this probability mathematically  as

             P(4 \ doors | sunroof ) =  \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}

   From the diagram

          P(4 \ doors \ n \ sunroof ) =  20

and     P(sunroof) =  50

So

      P(4 \ doors | sunroof ) =  \frac{20}{50}

      P(4 \ doors | sunroof ) =  0.40

       

3 0
3 years ago
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