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If f(x) =(if necessary)?(x-76what is the value of f(3), to the nearest thousandth

If f(x) =(if necessary)?(x-76what is the value of f(3), to the nearest thousandth-example-1

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5 votes

The function we have is:


f(x)=\frac{\sqrt[]{x}-7}{6}

And we need to find the value of f(3).

To solve this problem and find f(x), we need to substitute x=3 into the given function.

• Substituting x=3 into f(x) to find f(3):


f(3)=\frac{\sqrt[]{3}-7}{6}

And now, we start solving the operations.

Since the square root of 3 is equal to 1.732:


f(3)=(1.732-7)/(6)

Substracting 7:


f(3)=(-5.268)/(6)

And finally, dividing by 6:


f(3)=-0.878

To round to the nearest thousandth we need to round to 3 decimal places, which in this case we already have, thus, the final answer is:


-0.878

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