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#1 2024-03-11 18:26:56
- nycguitarguy
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Property of Function
Some functions f have the property f(a + b) = f(a) + f(b) for all real numbers a and b. Which of the following functions have this property?
A. h(x) = 2x
B. F(x) = 5x - 2
C. g(x) = x^2
D. G(x) =1/x
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#2 2024-03-11 20:50:36
- Bob
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Re: Property of Function
f(a + b) = f(a) + f(b) ?
Let's try B as an example.
B. F(x) = 5x - 2
F(a) = 5a - 2 F(b) = 5b - 2 F(a+b) = 5(a+b) - 2 = 5a + 5b - 2
So, is F(a) + F(b) equal to F(a+b) ?
Bob
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#3 2024-03-12 00:58:19
- nycguitarguy
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- From: Brooklyn, NY
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Re: Property of Function
f(a + b) = f(a) + f(b) ?
Let's try B as an example.
B. F(x) = 5x - 2
F(a) = 5a - 2 F(b) = 5b - 2 F(a+b) = 5(a+b) - 2 = 5a + 5b - 2
So, is F(a) + F(b) equal to F(a+b) ?
Bob
What about h(x) = 2x?
f(a) = 2a
f(b) = 2b
f(a + b) = 2(a + b) =2a + 2b
So, f(a) + f(b) = f(a + b).
1. Am I right?
2. What about g(x)?
3. What about G(x)?
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
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#4 2024-03-12 01:00:03
- Bob
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Re: Property of Function
Yes h(x) is right.
Try a similar thing with the others.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#5 2024-03-12 11:49:16
- nycguitarguy
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- From: Brooklyn, NY
- Registered: 2024-02-24
- Posts: 566
Re: Property of Function
Yes h(x) is right.
Try a similar thing with the others.
Bob
Ok. Will do. By the way, after going through the college algebra textbook, I may go straight to calculus l or perhaps try a precalculus textbook. Maybe I should do both courses simultaneously. In fact, I will go through precalculus now along with college algebra.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
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