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Mathematics 8 Online
OpenStudy (anonymous):

PLEASE HELP WILL FAN AND MEDAL Question attached in comments

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):

\[f(\xi)=\xi +4\\ f(-3)=-3+4\]

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 \(h(5)=5^2+1=26\)

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 \(-3+4=1\)

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 \[g(1)=1^3=?\]

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

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

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