anonymous
  • anonymous
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))
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
help :(
anonymous
  • anonymous
it is \(g(x)=10x+6\) ?
anonymous
  • anonymous
-10x + 6

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anonymous
  • anonymous
ok
anonymous
  • anonymous
would you be able to help me with this problem?
anonymous
  • anonymous
\[f(g(x))=f(-10x+6)=7(-10x+6)+4\] then some algebra to clean up the answer
anonymous
  • anonymous
you got this?
anonymous
  • anonymous
oh so basically we plug them in together equaling to each other?
anonymous
  • anonymous
oh no not equal to each other
anonymous
  • anonymous
okay from the basic algebra how do we find f(g(x))?
anonymous
  • anonymous
look at the steps i wrote first i wrote \(f(g(x))\) then i replaced \(g(x)\) by your \(g(x)\) namely \(-10x+7\)
anonymous
  • anonymous
so I got this: -70X + 46 = -70X-40
anonymous
  • anonymous
then evaluate the function \(f\) replacing \(x\) by \(-10x+7\)
anonymous
  • anonymous
there is no equation to solve here
anonymous
  • anonymous
-10x+6
anonymous
  • anonymous
the solution is \[f(g(x))=f(-10x+6)=7(-10x+6)+4=-70x+42+4=-70x+46\]
anonymous
  • anonymous
right... -70x + ......
anonymous
  • anonymous
I did the exact same thing. Am i missing something here?
anonymous
  • anonymous
-70x +46 ....right

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