<span>Find the inverse of the given function.
f(x) = -1/2√x + 3, x ≥ -3
I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3. If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.
1. Replace "f(x)" by "y:" y </span>= -(1/2)sqrt(x) + 3
2. Interchange x and y: x = -(1/2)sqrt(y) + 3
3. Solve for y: x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4. Replace "y" with
-1
f (x) = sqrt(2[3-x])
Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers. The domain here is (-infinity,3]
6.5%=.065
.065/12=0.00541666666666666666666666666667/month
3 years = 36 months
(1+0.00541666666666666666666666666667)^36=1.2146716269797335689295444127607
1.2146716269797335689295444127607 x 12500=$15183.40 in the account after 3 years
15183.40-12500=$2683.40 in interest earned
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▹ Answer
<em>60 1/8 or 481/8</em>
<em> </em>
▹ Step-by-Step Explanation
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Write out the governing equation:
y = kx.
Take any point from the given table. You haven't shared the table, so I will invent a point: (2, 9).
Then find k: k = 9/2 Then the equation becomes y = (9/2)x.
Now let x = 7 and find y: y = (9/2)(7) = 63/2
Answer: y = 63/2
