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OpenStudy (anonymous):
Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:
f(x) = 2x + 21
g(x) = x − 24
A.) −27
B.) −21
C.) 6
D.) 48
OpenStudy (anonymous):
@dan815 @Data_LG2 @phi @Mchilds15 @LynFran
OpenStudy (phi):
(f + g)(3) is short for f(3) + g(3)
can you find f(3) ?
OpenStudy (anonymous):
f(x) = 27
OpenStudy (phi):
you mean f(3)= 27 (f(x) would be the formula 2x+21)
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OpenStudy (phi):
now find g(3)
OpenStudy (anonymous):
Yes and g(3) = -21
OpenStudy (phi):
now add
OpenStudy (anonymous):
C.) 6
OpenStudy (anonymous):
I need help with some more, if you don't mind.
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OpenStudy (anonymous):
Given the functions f(x) = 10x + 25 and g(x) = x + 8, which of the following functions represents f[g(x)] correctly?
f[g(x)] = 10x + 33
f[g(x)] = 10x2 + 33
f[g(x)] = 10x + 105
f[g(x)] = 10x2 + 105
OpenStudy (phi):
yes
the other way to do this is first add f(x)+g(x)
like this:
2x + 21 + x-24
and we get
(f+g)(x)= 3x - 3
now figure out (f+g)(3) = 3*3-3 = 9 - 3 = 6
OpenStudy (phi):
starting with
f(x) = 10x + 25
we can say
f(a) = 10a+25
f(b*b)= 10*b*b+25
f(xyz)= 10*xyz+25
following that pattern, what is
f( g(x) ) ?