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maks197457 [2]
2 years ago
11

What is the inverse of this function?

Mathematics
1 answer:
Andreas93 [3]2 years ago
8 0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

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hope it helps...

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Dani’s estimate for the cost of tiling her bathroom is $50 plus $3 per square foot. She says that she can model the cost with a
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4 0
3 years ago
(10-P) Help please, thanks.
Anuta_ua [19.1K]
The formula of linear equation is:
y1  -  y2 = m(x1  -  x2)
Where
x1 and x2: x coordinates(-1 and 3)
y1 and y2: y coordinates(-2 and 10)
m is the slope

We can then choose a point from the line to find the eqaution.

We need to first find the slope:
\frac{y1 - y2}{x1 - x2}
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\frac{ - 2 - 10}{ - 1 - 3}   \\ =  \frac{ - 12}{ - 4}  \\  = 3

In this case, as the y2 is given as 1,put (-1,-2) , and the slope(3 )into the eqaution :

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Therefore
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Hope it helps!
7 0
3 years ago
Is andies solution correct
Nadusha1986 [10]
The solution is correct.
3 0
3 years ago
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