given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?
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OpenStudy (usukidoll):
so we need to figure out what makes g(x) = f(2)
so we are given that for f(x) x = 2
so plug in x = 2 into f(x) = 3x-1 and see what number we have.. then we can find an x and plug it into g(x) to make
g(x) = f(2) true
OpenStudy (anonymous):
so f(x) would = 7
OpenStudy (usukidoll):
wrong arithmetic. If f(x) = 3x+1
x = 2
f(2) = 3(2)+1=6+1=7
but we are given
f(x) = 3x-1
so plug x = 2 in the correct function .
OpenStudy (usukidoll):
so
f(2) = 3(2) -1 ?
we are subtracting
OpenStudy (usukidoll):
@tildax what is 6 - 1?
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OpenStudy (anonymous):
sorry just got back lol and 5 haha
OpenStudy (usukidoll):
it's alright lol
so f(2) = 5
so now we need an x for g(x) to produce 5
g(x) = f(2)
g(x) =5
OpenStudy (usukidoll):
g(x)=2x-3
what x value do we need to produce 5?
OpenStudy (anonymous):
4
OpenStudy (usukidoll):
alright!
so when x = 4
g(4) = 2(4)-3 =8-3=5
so
g(4) = f(2)
5=5 :)
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