SOLUTION: Need some help with this problem. Given g(s) = - sē + 5 find f(-4) and f(4a) Thank you for your time, David.

Algebra ->  Functions -> SOLUTION: Need some help with this problem. Given g(s) = - sē + 5 find f(-4) and f(4a) Thank you for your time, David.      Log On


   



Question 93578: Need some help with this problem.
Given g(s) = - sē + 5 find f(-4) and f(4a)
Thank you for your time, David.

Found 2 solutions by Earlsdon, bucky:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, you've given us g%28s%29+=+-s%5E2%2B5? then you ask for f(-4) and f(4a) ???
You will have to give us the function statement for f(?)
Please re-post the problem so that is clear.

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
g%28s%29+=+-s%5E2+%2B5
.
It would then be more correct to say find g(-4) and g(4a) instead of f(-4) and f(4a).
.
All that this is telling you to do is to substitute -4 for s and then substitute 4a for s
and simplify both results.
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Start with:
.
g%28s%29+=+-s%5E2+%2B5
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and replace every s with -4 to get:
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g%28-4%29+=+-%28-4%29%5E2+%2B+5
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Then square the -4 to get +16 and the equation then becomes:
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g%28-4%29+=+-%28%2B16%29+%2B+5
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Remove the parentheses by changing the sign of the 16 to minus to get:
.
g%28-4%29+=+-16+%2B+5
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and finally combine the -16 and +5 to get -11. This makes the answer:
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g%28-4%29+=+-11
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Next to find g(4a) start with the original function and replace every s with 4a to get:
.
g%284a%29+=+-%284a%29%5E2+%2B5
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Square 4a to get 16a%5E2 and the equation then becomes:
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g%284a%29+=+-16a%5E2+%2B+5
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And that's the answer. You can't combine terms because one contains a variable (a) and the
other does not ... so they are dissimilar.
.
Hope that helps you to see your way through the problem.