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OpenStudy (anonymous):
Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).
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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
OpenStudy (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
OpenStudy (anonymous):
ohh okay
Nnesha (nnesha):
\[\huge\rm f(\color{reD}{10x-6})=-4\color{reD}{x}+7\]
replace the x by 10x-6
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OpenStudy (anonymous):
wait i'm still confused
Nnesha (nnesha):
okay say it:=)
Nnesha (nnesha):
so what's ur question ?
OpenStudy (anonymous):
i don't get what you do after replacing the x with 10x-6
Nnesha (nnesha):
ohh distribute parentheses by 6
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Nnesha (nnesha):
\[\huge\rm f(\color{reD}{10x-6})=-4\color{reD}{(10x-6)}+7\]
distribute parentheses by 4 and then combine `like` terms
OpenStudy (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|
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