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notka56 [123]
4 years ago
9

If f(x - 2) = x3 + 3x2 – 3x +7 find f(1).​

Mathematics
2 answers:
Viefleur [7K]4 years ago
7 0

First of all, we have

f(x-2)=f(1) \iff x-2=1 \iff x=3

In fact, if we choose x=3, we have

f(3-2)=f(1)

So, let's evaluate the given function at x=3:

f(3 - 2)=f(1) = 3^3 + 3(3^2) - 3(3) +7 = 27+27-9+7=52

AlexFokin [52]4 years ago
7 0

Answer:

Step-by-step explanation:

f(x - 2) = f(1)

==> x -2 = 1

        x = 2+1 = 3

f(x - 2) = f(3 - 2) = 3³ + 3*3² -3*3 + 7

            = 27 + 27 - 9 + 7

            = 54 - 2 = 52

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