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If f(x)=(-5)/(16-x^(2)), what is the value of f(6), to the nearest thousandth (if necessary)? Answer:

If f(x)=−516−x2 f(x)=\frac{-5}{16-x^{2}} , what is the value of f(6) f(6) , to the nearest thousandth (if necessary)?\newlineAnswer:

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Full solution

Q. If f(x)=−516−x2 f(x)=\frac{-5}{16-x^{2}} , what is the value of f(6) f(6) , to the nearest thousandth (if necessary)?\newlineAnswer:
  1. Substitute xx with 66: Substitute the value of xx with 66 in the function f(x)f(x).f(6)=−516−62f(6) = \frac{-5}{16-6^2}
  2. Calculate 66 squared: Calculate the value of 66 squared.62=366^2 = 36
  3. Subtract 3636 from 1616: Subtract 3636 from 1616.\newline16−36=−2016 - 36 = -20
  4. Divide −5-5 by −20-20: Divide −5-5 by −20-20.\newlinef(66) = (−5)/(−20)(-5)/(-20)
  5. Simplify division: Simplify the division to find the value of f(6)f(6).f(6)=0.25f(6) = 0.25

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