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When x equals 19, the function f(x)=3/x+2-√x-3 simplifies to -3.8571428571.
To find the value of f(19), we begin by substituting x with 19 in the given equation: f(19) = 3/19 + 2 - √19 - 3. Simplifying further, we evaluate the expression within the square root, yielding √19 - 3, which equals √16, or 4. Next, we calculate the fraction 3/19 + 2, which amounts to approximately 0.1428571429. Subtracting the result of the square root operation from this fraction, we obtain f(19) = 0.1428571429 - 4, which equals -3.8571428571. Thus, the value of f(19) is approximately -3.8571428571 when rounded to ten decimal places.
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Rewritten by : Barada
The problem requires evaluating f(x) for the case x=19. Each 'x' in the function is replaced with 19, and the resultant equation is solved. The answer is approximately -1.051.
In order to evaluate the function f(x) for a given x-value, we simply replace each occurrence of 'x' in the function with the given value. So we have: f(19) = 3/19 + 2 - √19 - 3. In evaluating the arithmetic, you subtract 3 from 19 in the square root, then divide 3 by 19, and finally add 2 to this value. Following this process, you'll eventually find that f(19) = -1.051 (rounded to three decimal places).
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