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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))
 one year ago
 one year ago
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))
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
it is \(g(x)=10x+6\) ?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
would you be able to help me with this problem?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[f(g(x))=f(10x+6)=7(10x+6)+4\] then some algebra to clean up the answer
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
oh so basically we plug them in together equaling to each other?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh no not equal to each other
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
okay from the basic algebra how do we find f(g(x))?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
look at the steps i wrote first i wrote \(f(g(x))\) then i replaced \(g(x)\) by your \(g(x)\) namely \(10x+7\)
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
so I got this: 70X + 46 = 70X40
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
then evaluate the function \(f\) replacing \(x\) by \(10x+7\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
there is no equation to solve here
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
the solution is \[f(g(x))=f(10x+6)=7(10x+6)+4=70x+42+4=70x+46\]
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
right... 70x + ......
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
I did the exact same thing. Am i missing something here?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
70x +46 ....right
 one year ago
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