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Consider the following function.f(x) = 1 − x2/3Find f(−1) and f(1).f(−1)= f(1)

Question

Consider the following function.

f(x)=1x23 f(x) = 1 - x^{\frac{2}{3}}

Find f(1) f(-1) and f(1) f(1) .

f(1)=f(1) f(-1) = \quad f(1)

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Solution

To find the values of f(-1) and f(1), we simply substitute these values into the function f(x) = 1 - x^(2/3).

For f(-1), we substitute x with -1:

f(-1) = 1 - (-1)^(2/3) = 1 - 1 = 0

For f(1), we substitute x with 1:

f(1) = 1 - 1^(2/3) = 1 - 1 = 0

So, f(-1) = f(1) = 0.

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