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Let f(x) = 1 − 2x. Find the value of f(f(2)).

Mathematics

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Graph of f(x) = 1 − 2x

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Key points of f(x) = 1 − 2x
Pointxy
y-intercept01
x-intercept0.50

Step-by-step solution

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Here are the solutions to the problems:

2. f:x→1−2xf: x \to 1-2x. The values of ff(2)ff(2) gives

  1. Calculate f(2)f(2).

    f(x)=1−2xf(x) = 1 - 2x f(2)=1−2(2)=1−4=−3f(2) = 1 - 2(2) = 1 - 4 = -3

  2. Calculate ff(2)ff(2), which is f(f(2))f(f(2)).

    ff(2)=f(−3)ff(2) = f(-3) f(−3)=1−2(−3)=1+6=7f(-3) = 1 - 2(-3) = 1 + 6 = 7

    The final answer is D 7\boxed{\text{D } 7}.

    **3. When a regular polygon

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