Mathematics
8 Online
OpenStudy (anonymous):
PLEASE HELP WILL FAN AND MEDAL
Question attached in comments
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OpenStudy (anonymous):
OpenStudy (anonymous):
what is \(f(-3)\)? you need that first
OpenStudy (anonymous):
I don't know how to get f(-3)...
OpenStudy (anonymous):
\[f(x)=x+4\\
f(\spadesuit)=\spadesuit+4\]
OpenStudy (anonymous):
\[f(\xi)=\xi +4\\
f(-3)=-3+4\]
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OpenStudy (anonymous):
so 4 is why and somehow we get -3 for x?
OpenStudy (anonymous):
you are asked for \(g\circ f(-3)\) right?
OpenStudy (anonymous):
that means that \(x=-3\)
it is going to take two steps to compute \(g\circ f(-3)\)
the first step is to find \(f(-3)\)
OpenStudy (anonymous):
do you know how to evaluate a function at a number?
OpenStudy (anonymous):
here is an example
suppose \(h(x)=x^2+1\)
that makes \(h(5)=5^2+1=26\)
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OpenStudy (anonymous):
in other words, plug in the number where you see the variable, compute the result
OpenStudy (anonymous):
One second while I try..
OpenStudy (anonymous):
ok
this is your first job\[f(x)=x+4\\f(-3)=-3+4=?\]
OpenStudy (anonymous):
1?
OpenStudy (anonymous):
yes \(-3+4=1\)
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OpenStudy (anonymous):
ok, next job is an easy one, compute \(g(1)\)
OpenStudy (anonymous):
g^3?
OpenStudy (anonymous):
\[g(x)=x^3\] right?
OpenStudy (anonymous):
Yea?
OpenStudy (anonymous):
so \[g(\heartsuit)=\heartsuit^3\] and \[g(1)=1^3=?\]
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OpenStudy (anonymous):
3?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
\[1\times 3=3\] but \(1^3=1\times 1\times 1\)
OpenStudy (anonymous):
1*1*1 is just 1..
OpenStudy (anonymous):
yes it is
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OpenStudy (anonymous):
so \[g\circ f(-3)=g(f(-3))=g(1)=1\]
OpenStudy (anonymous):
i.e. 1 is your final answer
OpenStudy (anonymous):
Thank you... Is there any way you'd help with like 8 more please? If I get anything else wrong I fail my assignment all over again
OpenStudy (anonymous):
ok sure
OpenStudy (anonymous):
Thank you so much. I;'ll get the next one up momentarily