Perform the required operations on the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)].
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OpenStudy (diamondanon2):
The answer choices are
2x-6
-x-6
2x+3
OpenStudy (diamondanon2):
To me it seems we have to input values, but I do not know how. If I had to guess I would say
-2x[3-x{x)]
jhonyy9 (jhonyy9):
given f(x) = 3-x
and g(x) = -2x
so to find g(f(x)) just substitute the f(x) in place of x inside the equation of g(x)
ok. ?
OpenStudy (diamondanon2):
liike I did?
OpenStudy (diamondanon2):
or did I do it wrong
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jhonyy9 (jhonyy9):
not is right because you substitute in place of x so this x will be eliminate and you get
g(f(x)) = -2(f(x)) so how you wrote there above are to much x-es there
ok. ?
OpenStudy (diamondanon2):
okay so what is the correct version?
jhonyy9 (jhonyy9):
g(f(x)) = -2(3-x) = ?
jhonyy9 (jhonyy9):
what you dont know ?
OpenStudy (diamondanon2):
so it is 2x+3
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jhonyy9 (jhonyy9):
why +3 ?
OpenStudy (diamondanon2):
the two negative would cancel out right?
jhonyy9 (jhonyy9):
-2*3 = ?
OpenStudy (diamondanon2):
-6
OpenStudy (diamondanon2):
oh okay so 2x-6
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jhonyy9 (jhonyy9):
exactly
OpenStudy (diamondanon2):
Thanks a bunch!
jhonyy9 (jhonyy9):
was my pleasure but do you understand it now sure ?
OpenStudy (diamondanon2):
Yes i believe so. But I do have one more.
jhonyy9 (jhonyy9):
ok just post it on the open questions column and tag me there please