What is the inverse of the function G(X)=-2(x-4)
2 answers:
Answer :)
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+8 f - 1 ( x ) = 4 x + 8 is the inverse of f(x)=x4−2 f ( x ) = x 4 - 2
Answer:
Step-by-step explanation:
g
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x
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2
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x
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4
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Replace
g
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with
y
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y
=
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2
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x
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4
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Interchange the variables.
x
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2
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y
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4
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Solve for
y
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y
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x
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+
4
Solve for
y
and replace with
g
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g
−
1
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=
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x
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4g
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x
)
=
−
2
(
x
−
4
)
Replace
g
(
x
)
with
y
.
y
=
−
2
(
x
−
4
)
Interchange the variables.
x
=
−
2
(
y
−
4
)
Solve for
y
.
Tap for more steps...
y
=
−
x
2
+
4
Solve for
y
and replace with
g
−
1
(
x
)
.
g
−
1
(
x
)
=
−
x
2
+
4
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