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Oksana_A [137]
3 years ago
5

If f(×)=2×^2+3, then which of the following represent f(-1)?

Mathematics
1 answer:
eimsori [14]3 years ago
3 0

To find the inverse of this function, we first need to replace f(x) with y.

y = 2x^2 + 3

Now, we swap x and y

x = 2y^2 + 3

Now, we solve for y.

-3

x - 3 = 2y^2

Sqrt both sides.

√(x - 3) = 2y

Divide by 2

√(x - 3)/2 = y

Replace y with f^-1(x)

√(x - 3)/2 = f^-1(x)


Just realized you were asking for f(-1), not f^-1(x)

Feels bad.

f(-1) = 2(-1^2 + 3)

f(-1) = 2(-1^5)

f(-1) = 2(-1)

<u>f(-1) = -2</u>

I'm leaving the original answer in case you also need the inverse function. :)

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