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Viktor [21]
3 years ago
11

1/X 1/4=7/12 solve and check solution

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
1/x+1/4=7/12 , 1/x+3/12=7/12 , 1/x=4/12=1/3 , x=3
liraira [26]3 years ago
6 0
\frac { 1 }{ x } +\frac { 1 }{ 4 } =\frac { 7 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 1 }{ 4 }

\\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 3 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 4 }{ 12 } =\frac { 1 }{ 3 } \\ \\ 3x\cdot \frac { 1 }{ x } =\frac { 1 }{ 3 } \cdot 3x\\ \\ x=3
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CaHeK987 [17]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  − 9 /25

Decimal Form:

x  =  − 0.36

I hope this helps! Have a great day!

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Step-by-step explanation:

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Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



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Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
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Inga [223]
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4 years ago
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