Functions: If h(x) = 14 + x^2 / 4 and h(2m) = 9m, then....

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Love21

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Let the function 'h' be defined by h(x) = 14 + x (squared) divided by 4

If h(2m) = 9m, what is one possible value of m?

Ok so I have :
14 + 2m(squared) divided by 4 = 14 + 9m(squared) divided by 4
Should i just plug in numbers until one works? Or is there a better way to solve this problem?
Thank you!
 
Love21 said:
Let the function 'h' be defined by h(x) = 14 + x (squared) divided by 4
Click to expand...
It would really be nice if you started formatting clearly. :shock:

As posted, the function might be "14 + (x[sup:2ao6w6gz]2[/sup:2ao6w6gz] / 4)" or "(14 + x[sup:2ao6w6gz]2[/sup:2ao6w6gz]) / 4" or "(14 + x)[sup:2ao6w6gz]2[/sup:2ao6w6gz] / 4". Which did you mean, or did you mean something else entirely?

Eliz.
 
I'm sorry it's hard for me to format these right on the computer,
I meant:
"14 + (x2 / 4)"

So how do i proceed?
 
Love21 said:
I'm sorry it's hard for me to format these right on the computer,
I meant:
"14 + (x2 / 4)"

So how do i proceed?
Click to expand...

h(x) = 14 + (x[sup:302e7lmt]2[/sup:302e7lmt]/4)

And you are told that

h(2m) = 9m

Substitute (2m) for x:

h(2m) = 14 + [(2m)[sup:302e7lmt]2[/sup:302e7lmt] / 4]

Now, (2m)[sup:302e7lmt]2[/sup:302e7lmt] = (2m)(2m) or 4m[sup:302e7lmt]2[/sup:302e7lmt]

h(2m) = 14 + (4m[sup:302e7lmt]2[/sup:302e7lmt] / 4)

h(2m) = 14 + m[sup:302e7lmt]2[/sup:302e7lmt]

Since h(2m) = 9m, we can say

9m = 14 + m[sup:302e7lmt]2[/sup:302e7lmt]

Take it from there, and solve for m.
 
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