Function Composition
Given the function
f
(
x
)
=
1
x
−
2
\displaystyle {f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}-{2}}}}
f
(
x
)
=
x
−
2
1
and the function
g
(
x
)
=
4
x
+
2
\displaystyle {g{{\left({x}\right)}}}={\frac{{{4}}}{{{x}}}}+{2}
g
(
x
)
=
x
4
+
2
determine each of the following. Simplify your answers.
Evaluate
f
(
g
(
x
)
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}
f
(
g
(
x
)
)
f
(
g
(
x
)
)
=
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}=
f
(
g
(
x
)
)
=
Preview
Question 6 Part 1 of 2
Evaluate
g
(
f
(
x
)
)
\displaystyle {g{{\left({f{{\left({x}\right)}}}\right)}}}
g
(
f
(
x
)
)
g
(
f
(
x
)
)
=
\displaystyle {g{{\left({f{{\left({x}\right)}}}\right)}}}=
g
(
f
(
x
)
)
=
Preview
Question 6 Part 2 of 2
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