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Irina18 [472]
3 years ago
8

For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

\displaystyle F(b + 3) = b^2 + 4b + 7

Step-by-step explanation:

We are given the function:

\displaystlye F(x) = x^2 - 2x + 4

And we want to find F(<em>b</em> + 3).

We can substitute:

\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4

Expand:

\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4

Rearrange:

\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)

Combine like terms. Hence:

\displaystyle = b^2 +4b + 7

In conclusion:

\displaystyle F(b + 3) = b^2 + 4b + 7

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