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Pani-rosa [81]
3 years ago
14

State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

: Domain of f -1(x): Range of f -1(x)
Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

f^{-1}(x) = \frac{x+8}{8}

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

f(x) = 8x + 8

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

y = 8x + 8

Exchanging:

x = 8y - 8

Isolating y:

8y = x + 8

y = \frac{x+8}{8}

f^{-1}(x) = \frac{x+8}{8}

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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
7 0
2 years ago
Chantal bicycles at a speed of 20 miles per hour and has already riden 45 miles when Trisha begins cycling. Trish bicycles at a
melomori [17]

Answer:

Chantal and Trisha will have both traveled 105 miles in 20 minutes.

Step-by-step explanation:

y is distance in miles, x is time in hours.

The two equations are:

y = \frac{20}{x} + 45

y = \frac{35}{x}

Set them equal to each other and solve for x:

\frac{35}{x} = \frac{20}{x} + 45

\frac{35}{x} - \frac{20}{x} = 45

\frac{35-20}{x} = 45

\frac{15}{x} = 45

x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes

Plug that back into the equations to confirm this x gives the same y:

y = \frac{20}{1/3} + 45 = 105 miles

y = \frac{35}{1/3} = 105 miles

4 0
2 years ago
A mathematical hypothesis could be a guess at a _____ rule.<br><br> variable<br> function<br> input
jeka57 [31]
I want to say function rule
7 0
3 years ago
Pls help with this question please
Marina86 [1]

Answer:

x=8

Step-by-step explanation:

<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u>:</u><u>-</u></h3>

RS=28

RT=3x+4

<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u>:</u><u>-</u></h3>

<u>Solve</u><u> </u><u>for</u><u> </u><u>x</u><u>.</u>

<h3><u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>:</u><u>-</u></h3>

<h3>=>RS = RT</h3>

[Tangent of same circle are equal]

=>3x+4=28

=>3x=28-4

=>3x=24

=>x=\frac{24}{3}

<h3>=>x=8</h3>

<h3><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u></h3>

5 0
3 years ago
C^1/2+ c^1/3 for c = 64 ( find the value of the expression for the value indicated)
solmaris [256]

Answer:

12

Step-by-step explanation:

(64)^½ + (64)^⅓

(8²)^½ + (4³)^⅓

8 + 4

12

4 0
3 years ago
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