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May 19th, 2015, 04:19 AM   #1
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Question Find the equation of f. It's equation is f(x) = ax + b

I'll try to explain as well as I can now.

You're given the equation:

f(x) = ax + b

And you have to decide the equation for it using these to equations:

f(x+2)-f(x) = 3

f(4) = 2b

By these two equations it should be possible to get the equation for f
which is f(x) = ax + b

But how do we do to calculate that. Thanks for help I do really appreciate it!

Is this clear enough and not confusing? Or do I need to explain even better?

I want to find an equation of the equations above which are:

f(x+2)-f(x) = 3
f(4) = 2b

So that I get an equation like:
f(x) = ax + b

Examples:

f(x) = 2x + 4
f(x) = 4x + 2

Last edited by DecoratorFawn82; May 19th, 2015 at 05:03 AM.
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May 19th, 2015, 06:01 AM   #2
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From f(x + 2) - f(x) = 3, a(x + 2) + b -ax - b =3, 2a = 3, a = 3/2.

From f(4), 4a + b = 2b, b = 4a = 4(3/2) = 6.

f(x) = 3/2 * x + 6.
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