Need help with this function problem please!  TOPIC_SOLVED

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Need help with this function problem please!

Postby zellm on Wed Apr 29, 2009 9:19 pm

Could someone show me how to solve this? Hope I write this correctly. the -5/2x and the 5/6x are fractions. :confused:

Find the input value for which the functions f(x)= -5/2x+2 and g(x)= 5/6x-4 have the same output value.
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Postby stapel_eliz on Wed Apr 29, 2009 10:34 pm

zellm wrote:Find the input value for which the functions f(x)= -5/2x+2 and g(x)= 5/6x-4 have the same output value.

If the function values are the same for some value of x, then set the function expressions equal and solve for that value of x. :wink:

Your formatting is ambiguous, so I can't present the equation, since I can't tell what the functions are. Sorry! :oops:
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Re: Need help with this function problem please!

Postby zellm on Wed Apr 29, 2009 10:59 pm

Does this help any? This is a sample question for an exam.

Find the input value for which the functions f(x)= (-5/2)x+2 and g(x)= (5/6)x-4 have the same output value.
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  TOPIC_SOLVED

Postby stapel_eliz on Thu Apr 30, 2009 11:36 am

zellm wrote:Does this help any?

Find the input value for which the functions f(x)= (-5/2)x+2 and g(x)= (5/6)x-4 have the same output value.

Ah. That would not have been what I would have guessed you'd meant. :oops: Thank you; that is helpful! :thumb:

To find the input value "x" that makes the output expressions "-(5/2)x + 2" and "(5/6)x - 4" equal to each other, follow the instructions provided earlier: Set the output expression equal to each other:

. . . . .-(5/2)x + 2 = (5/6)x - 4

...and solve the linear equation for x! :D

A good first step might be to multiply through by 6, thus getting rid of the denominators.

. . . . .-15x + 12 = 5x - 24

...etc, etc, and so forth.
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