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bekas [8.4K]
3 years ago
14

PLEASE HELP (:

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

{12,15}

Step-by-step explanation:

Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.

At endpoint x = 7,

f(7) = 7+5

f(7) = 12

At endpoint x = 9

f(9) = 9+5

f(9) = 14.

The function domain is therefore at {12,14}

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Find the solution to the system of equations,x+3y and 2x+4y=8
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Answer:

x = -7/3y + 8/3

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Step-by-step explanation:

First, set the equations next to each other to find x and y, I'll start with x:

x + 3y + 2x + 4y = 8

Combine like terms

3x + 7y = 8

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3x = 8 - 7y

I'll re-order the equation to make it easier to divide

3x = -7y + 8

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x = -7/3y + 8/3

If you need decimals just divide with a calculator

Now to find y:

We already combined like terms so we don't need to do that again...

3x + 7y = 8

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I'll reorder the equation once again so the variable comes first

7y = -3x + 8

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If f(x) = 6x – 4, then f^-1(x)=
guapka [62]

Answer:

f^{-1}(x)=\frac{x}{6}+\frac{2}{3}

Step-by-step explanation:

Given function.

f(x)=6x-4

To find the inverse function f^{-1}(x)

Step 1:

Replace f(x) withy in the function.

y=6x-4

Step 2:

Interchange y with x in the equation.

x=6y-4

Step 3:

Solve for y.

We have x=6y-4

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x+4=6y-4+4

x+4=6y

Dividing each term by 6 to isolate y

\frac{x}{6}+\frac{4}{6}=\frac{6y}{6}

\frac{x}{6}+\frac{4}{6}=y

Simplifying fractions by dividing the numerator and denominator by  their GCF.

\frac{x}{6}+\frac{4\div 2}{6\div 2}=y

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Thus the equation of y is:

y=\frac{x}{6}+\frac{2}{3}

Step 4:

Replace y with f^{-1}(x)

f^{-1}(x)=\frac{x}{6}+\frac{2}{3} (Answer)

Thus, we have the inverse function

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