For some values of x, the following functions cannot be accurately computed by u
ID: 3010382 • Letter: F
Question
For some values of x, the following functions cannot be accurately computed by using the given formula. Explain and find a way around the difficulty. f(x) = Squareroot x^2 + 1 - x f(x) = Squareroot x^4 + 4 - 2 f(x) = Squareroot x + 2 - Squareroot x f(x) = (Squareroot x + 4)^1/2 - (Squareroot x)^1/2 For some values of x, the following functions cannot be accurately computed by using the given formula. Explain and find a way around the difficulty. f(x) = 1 - sin x f(x) = 1 - cos x f(x) = 2cos^2x - 1 f(x) = (cos x - e^-x)/sin x f(x) = e^x - sin x - cos x For some values of x, the following functions cannot be accurately computed by using the given formula. Explain and find a way around the difficulty. f(x) = tanhx -= e^x - e^-x/e^x + e^-x f(x) = 1/x^3 (sin h x - tan h x)Explanation / Answer
18.
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f(x) = sqrt[x^2+1] - x
if the term under the square root is a perfect square then we'll get an exact answer using the above formula.
now the those valuse of x for which we dont have a perfect square under the square root we'll have to either use the graphical approach .
PLot the graph and draw a vertical line like x=1,x=1.4 and so on , note the x values need to be within the domain of f(x) and see where f(x) and the vertical line intersects. THe point of intersection will be a close approximation.