Question 93578
Given:
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{{{g(s) = -s^2 +5}}}
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It would then be more correct to say find g(-4) and g(4a) instead of f(-4) and f(4a).
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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:
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{{{g(s) = -s^2 +5}}}
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and replace every s with -4 to get:
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{{{g(-4) = -(-4)^2 + 5}}}
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Then square the -4 to get +16 and the equation then becomes:
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{{{g(-4) = -(+16) + 5}}}
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Remove the parentheses by changing the sign of the 16 to minus to get:
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{{{g(-4) = -16 + 5}}}
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and finally combine the -16 and +5 to get -11. This makes the answer:
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{{{g(-4) = -11}}}
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Next to find g(4a) start with the original function and replace every s with 4a to get:
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{{{g(4a) = -(4a)^2 +5}}}
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Square 4a to get {{{16a^2}}} and the equation then becomes:
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{{{g(4a) = -16a^2 + 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.
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Hope that helps you to see your way through the problem.