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3 years ago

Given the function f(x) = x^3 + x^2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1

The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1

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Answer:

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Step-by-step explanation:

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2 years ago

There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

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The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

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3 years ago

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Answer: F(x) = 225x + 45

Credit to: @2Educ8

+ = <3

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3 years ago