anonymous
  • anonymous
Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).
Mathematics
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SOLVED
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chestercat
  • chestercat
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Nnesha
  • Nnesha
\[\huge\rm f(\color{red}{g(x)})\textrm {is same as }f(\color{reD}{10x-6})\] so substitute x for 10x-6 into f(x) function
anonymous
  • anonymous
so it would be x = 3/5?
Nnesha
  • Nnesha
no f(g(x)) means you should substitute x for g(x) function which is 10x-6 so in other words replace x by 10x-6 x=10x-6

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anonymous
  • anonymous
ohh okay
Nnesha
  • Nnesha
\[\huge\rm f(\color{reD}{10x-6})=-4\color{reD}{x}+7\] replace the x by 10x-6
anonymous
  • anonymous
wait i'm still confused
Nnesha
  • Nnesha
okay say it:=)
Nnesha
  • Nnesha
so what's ur question ?
anonymous
  • anonymous
i don't get what you do after replacing the x with 10x-6
Nnesha
  • Nnesha
ohh distribute parentheses by 6
Nnesha
  • Nnesha
\[\huge\rm f(\color{reD}{10x-6})=-4\color{reD}{(10x-6)}+7\] distribute parentheses by 4 and then combine `like` terms
anonymous
  • anonymous
so then f = -4(20x - 12) + 7 ??
Nnesha
  • Nnesha
hmm no
Nnesha
  • Nnesha
multiply both terms in the parentheses by outside number \[\huge\rm a(b+c)=a \times b+a \times c\] like this
Nnesha
  • Nnesha
|dw:1440514753158:dw|
anonymous
  • anonymous
OHH so it's -40x + 24
Nnesha
  • Nnesha
\[\huge\rm \color{reD}{-4(10x-6)}+7\] \[\huge\rm \color{reD}{-40x+24}+7\] red part equal to -4x+24 right now combine like terms

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