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What is the difference between f(x) and g(x)?

Could you please make an example for me?

2007-09-05 10:59:21 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

g(x) would be a (this is not the algebraic term for it, I'm sure) secondary function, where f(x) would be the primary one. An example would be:

f(x) = 3x + 8.
g(x) = 2f(x) + 1.

You solve for f(x) first, then use that answer to solve for g(x). So in this case, if x = 5,
f(5) = (3*5) + 8 = 23.
g(5) = (2*23) + 1 = 47.

2007-09-05 11:06:14 · answer #1 · answered by RustyL71 4 · 1 0

There's no difference, really. f(x) and g(x) are just names we give to equations. Like y=mx+b, y is the name. f(x) is just a name for a function, as is g(x), they just used a different letter.
If you're using multiple functions, you could say that f(x)=2x-6 and g(x)=x^2.
It's easier to decipher between them by using different letters.

2007-09-05 11:09:19 · answer #2 · answered by ? 2 · 0 0

If f(x) = x^2+4 and g(x) x^2+4, then f(x) = g(x) and there is no difference.
If (x) = x^2+6x+7 and g(x) = x^5 -19, then f(x) and g(x) are two different functions and so they require different names.

If you had three children, you wouldn't name them all f(x) would you?

2007-09-05 11:09:43 · answer #3 · answered by ironduke8159 7 · 0 0

When you have an equation like y=somehting x
then F(x) (you pronouce 'Eff' of Ex) it means function of X
G(x) is another way of writing a different fucntion of X
They are both used to sort of represent Y in an equation. It just means that somehting is happening to X like addition, subtraction, division, etc...

2007-09-05 11:05:33 · answer #4 · answered by Sake 3 · 1 0

there is no difference, they both mean "the function of x"

2007-09-05 11:05:12 · answer #5 · answered by Rycka Pycka 3 · 0 0

its just saying "x with respect to f" or "x with respect to g" sorta like saying use ur g values for x in this equation or use the f values instead

2007-09-05 11:04:55 · answer #6 · answered by Poormillionaire 2 · 0 0

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