If f(x) = x + 3
4x – 5
, g(x) = 3 + 5x
4x – 1 then show that
(fog) (x) = x.
Question
If f(x) = x + 3
4x – 5
, g(x) = 3 + 5x
4x – 1 then show that
(fog) (x) = x.
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Mathematics
11 months
2021-07-05T03:43:39+00:00
2021-07-05T03:43:39+00:00 2 Answers
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Answers ( )
(tex) ғ(x)=(x+)/(x-)
ɢ(x)=(+x)/(x-)
ғ.ɢ(x)=ғ{ɢ(x)}
=ғ{+x/x-}
={(+x)/(x-)+}/{(+x)/(x-)-}
={(+x+x-)/+x-x+}(/tex)
(tex) ғ(x)=(x+)/(x-)
ɢ(x)=(+x)/(x-)
ᴛʜᴇɴ,
ғ.ɢ(x)=ғ{ɢ(x)}
=ғ{+x/x-}
={(+x)/(x-)+}/{(+x)/(x-)-}
={(+x+x-)/+x-x+}(/tex)