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Algebra
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OpenStudy (lalaland_lauren):
Given the functions f(x) = 6x + 11 and g(x) = x + 6, which of the following functions represents f[g(x)] correctly?
f[g(x)] = 6x + 47
f[g(x)] = 6x + 17
f[g(x)] = 6x2 + 47
f[g(x)] = 6x2 + 17
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OpenStudy (lalaland_lauren):
Can someone help explain this to me?
imqwerty (imqwerty):
f(g(x)) means that you have to put g(x) as the value of x in f(x)
OpenStudy (campbell_st):
just replace x with x + 6
so f(x +6) = 5(x + 6) + 11
then just simplify
OpenStudy (campbell_st):
oops should be
f(x + 6) = 6(x + 6) + 11
sorry for the typo
imqwerty (imqwerty):
so u'll have -
f(g(x)) = 6(g(x))+11
f(g(x))=6(x+6)+11
f(g(x))=6x+36+11
f(g(x))=6x+47
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OpenStudy (lalaland_lauren):
so it'd be a
imqwerty (imqwerty):
yes
OpenStudy (lalaland_lauren):
okay, could you help me with some more?
imqwerty (imqwerty):
yes
OpenStudy (lalaland_lauren):
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
f(x) = 6x + 12
g(x) = x − 8
−96
0
24
48
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OpenStudy (lalaland_lauren):
hello?
OpenStudy (campbell_st):
just find the value of
g(6) = 6 - 8
then substitute the answer into
f(x)
OpenStudy (lalaland_lauren):
okay so g(6) = -2
then I divide?
OpenStudy (campbell_st):
then you substitute
f(-2) = 6(-2) + 12
OpenStudy (lalaland_lauren):
oh okayyy
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OpenStudy (lalaland_lauren):
you're a huge help lol
OpenStudy (lalaland_lauren):
can you help me with two more? @campbell_st
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