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mr_godi [17]
3 years ago
8

Show that the function of f(x) = a - x is its own inverse for all real numbers a

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

f(x) = a - x

y = a - x

y + x = a - x + x

y + x = a

y + x - y = a - y

x = a - y

f-¹(x) = a - x

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kvasek [131]

The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.

<h3>What is a function?</h3>

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The graph is given below.

The function can be defined as

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Then we have

f(x) = \left\{\begin{matrix}y=x^2 & 0\leq x < 3 \\\\y=-x+10 & 3 < x\leq 6 \\\\y=x+2 & 6\leq x \leq 10 \\\end{matrix}\right.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

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