Two functions, f(x) = 2x2 + 3 and g(x) = x + 1.
If you are asked to find f[g(2)], which function would you solve first?
Select one:
a. f(x)
b. g(x)
c. Either f(x) or g(x)
d. Not enough information given
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OpenStudy (anonymous):
@sidsiddhartha @swift_13
OpenStudy (anonymous):
you solve g(x)
OpenStudy (anonymous):
how?
OpenStudy (anonymous):
wait so the answer is B
OpenStudy (anonymous):
g(2)=3
and than plug 3 into f(x)
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OpenStudy (anonymous):
is that the rightf(x) = 2x2 + 3 ?
OpenStudy (anonymous):
i think you tell me
OpenStudy (anonymous):
no i mean is that the right function you typed in? 2x2 (is that a x or multiplication sign?)
OpenStudy (anonymous):
its an x
OpenStudy (anonymous):
@sidsiddhartha
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OpenStudy (anonymous):
well than it should be b. g(x)
OpenStudy (anonymous):
ok thank you soo much
OpenStudy (johnweldon1993):
So we're actually solving it now?
well
\[\large f(x) = 2x^2 + 3\]
\[\large g(x) = x + 1\]
f(g(2)) would mean to solve g(2) first...then lug the output in for 'x' in the 'f' function
so
\[\large g(2) = 2 + 1 = 3\]
Now just plug in 3 for 'x' in the 'f' function
\[\large f(g(2)) = 2(3)^2 + 3 = 2(9) + 3 = 18 + 3 = 21\]