College Algebra Questions

[From: ] [author: ] [Date: 12-05-12] [Hit: ]

To help reinforce your understanding of inverse functions, Ive searched and found a webpage and a video tutorial that address problems similar to this one, and I thought they might be helpful to you. Ive listed them below.As always, if you need more help,......

y + 7 = 5/x
y = 5/x - 7.

Both (a) and (b) can be checked by using the method in (2) above.

To help reinforce your understanding of inverse functions, I've searched and found a webpage and a video tutorial that address problems similar to this one, and I thought they might be helpful to you. I've listed them below.

As always, if you need more help, please clarify where you are in the process and what's giving you trouble. I'd be more than happy to continue to assist.

If we've been helpful in answering your question, please consider stopping by to show your love at our brand new Facebook page at http://www.facebook.com/protutorcompany.

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If the radius is r, then dr/dt = 10
Integrate that to get r = 10t + C
Presumably, r = 0 when t = 0, so c = 0, therefore r = 10t
A = pi * r^2
A = pi * (10t)^2
A = pi * 100t^2

y = 2x + 2
y - 2 = 2x
x = (y - 2) / 2
The inverse is:
y = (x - 2) / 2
Note that x - 2/2 is the same as x - 1, so the answer is NO, that's not the inverse.
But if you add brackets to make it (x - 2) / 2, the answer is YES, that's the inverse.

y = (5/x) + 7
y - 7 = 5/x
x(y - 7) = 5
x = 5 / (y - 7)
The inverse is:
y = 5 / (x - 7)
Or did you mean:
y = 5 / (x + 7)
y(x + 7) = 5
xy + 7y = 5
xy = 5 - 7y
x = (5 - 7y) / y
The inverse is:
y = (5 - 7x) / x
y = (5/x) - 7
Or did you mean:

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First Part:
Let A(t) be the area function of the circle defined by a circular ripple, whose size (diameter) is expanding at 10 ft/sec. Then:

A(t) = 25πt²

Second Part:
f(x) = 2x + 2
g(x) = (x-2)/2

(f o g)(x) = 2([x-2]/2) + 2 = x
(g o f)(x) = ([2x + 2] - 2)/2 = x

Check: f & g are inverses of each other

Third Part:
y = 5/x + 7
y - 7 = 5/x
x = 5/(y - 7)

For f(x) = 5/x + 7
g(x) = 5/(x - 7) is an inverse

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is the increase the circumference or the radius or evn possibly the area?

what is the relation between R and A ?

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