mathcalculus
For the following functions, f and g, determine
(a) f(g(x)) (b) g(f(x))
If f(x)= 7x+4 and g(x)10x+6 , then
(a) f(g(x))
(b) g(f(x))



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mathcalculus
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help :(

anonymous
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it is \(g(x)=10x+6\) ?

mathcalculus
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10x + 6

anonymous
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ok

mathcalculus
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would you be able to help me with this problem?

anonymous
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\[f(g(x))=f(10x+6)=7(10x+6)+4\] then some algebra to clean up the answer

anonymous
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you got this?

mathcalculus
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oh so basically we plug them in together equaling to each other?

anonymous
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oh no not equal to each other

mathcalculus
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okay from the basic algebra how do we find f(g(x))?

anonymous
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look at the steps i wrote
first i wrote \(f(g(x))\) then i replaced \(g(x)\) by your \(g(x)\) namely \(10x+7\)

mathcalculus
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so I got this: 70X + 46 = 70X40

anonymous
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then evaluate the function \(f\) replacing \(x\) by \(10x+7\)

anonymous
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there is no equation to solve here

mathcalculus
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10x+6

anonymous
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the solution is
\[f(g(x))=f(10x+6)=7(10x+6)+4=70x+42+4=70x+46\]

mathcalculus
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right... 70x + ......

mathcalculus
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I did the exact same thing. Am i missing something here?

mathcalculus
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70x +46 ....right