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Mathematics
Mathematics
Problem
If
g
g
g
is the inverse of a function
f
f
f
, which one of the following statements is always true for all admissible
x
x
x
? a)
f
(
g
(
x
)
)
=
g
(
f
(
x
)
)
f\bigl(g(x)\bigr)=g\bigl(f(x)\bigr)
f
(
g
(
x
)
)
=
g
(
f
(
x
)
)
b)
f
(
g
(
x
)
)
=
x
and
g
(
f
(
x
)
)
=
x
f\bigl(g(x)\bigr)=x \text{ and } g\bigl(f(x)\bigr)=x
f
(
g
(
x
)
)
=
x
and
g
(
f
(
x
)
)
=
x
c)
f
(
g
(
x
)
)
=
x
only
f\bigl(g(x)\bigr)=x \text{ only}
f
(
g
(
x
)
)
=
x
only
d)
g
(
f
(
x
)
)
=
x
only
g\bigl(f(x)\bigr)=x \text{ only}
g
(
f
(
x
)
)
=
x
only
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