X varies directly with Y and Z. x = 40 when y = 10 and Z = 20. find X when y = 30 and Z = 40.
1 answer:
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<h2>Steps:</h2>
Here are the steps to convert an equation to its inverse:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Firstly, do the first two steps:
Next, let's solve for y. Subtract 3 on both sides:
Next, divide both sides by 4:
Finally, change y to f^-1(x) and your final answer will be:
, or <u>the second option.</u>
We are given a function f ( x ) defined as follows:
We are to determine the value of f ( x ) when,
In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:
We will apply the power on both numerator and denominator as follows:
Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).
Next apply the division operation as follows:
Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.
Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.
However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).
The answer to f ( 1 / 2 ) to the nearest thousandth would be: