Consider the functions f(x) = 3x − 2 and g(x) = x2 − 1. What is the value of f[g(5)]?
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OpenStudy (anonymous):
first evaluate g(5) = 5^2 -1 =25-1 =24
then evaluate f(g(5)) = f(24) = 3*24-2 =70
OpenStudy (anonymous):
i dont get it
OpenStudy (anonymous):
can u make it simpler
OpenStudy (anonymous):
they are asking you to evaluate f(x) =3x-2 but they want x to be the vaule which is equal to g(5)
OpenStudy (anonymous):
soo 3x(5) -2
right
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OpenStudy (anonymous):
which is 13
OpenStudy (anonymous):
x= g(5) = 5^2 -1 =24
f(24) = 3*24- 2 = 70
OpenStudy (anonymous):
the answer should be 70
OpenStudy (anonymous):
soo then wat do u do
OpenStudy (anonymous):
f(g(5)) is not a multiplication is a comp function
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OpenStudy (anonymous):
can u show me step by step
OpenStudy (anonymous):
how did u get 70
OpenStudy (anonymous):
sorry I am having prob with the internet
OpenStudy (anonymous):
Let see first what is given ;
f(x) = 3x-2 , g(x) = x^2 -1
they are asking to find f(g(5)) =?
this means that you need to first evaluate g(x) =x^2-1 when x =5
that is g(5) = 5^2 -1 =25-1=24
because g(5) =24 this values is the one that need to plug in f(x)
that is f(g(5) = f(24) = 3*24-2 =72-2=70