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find the value of g-¹(-2) if g (x) =4-2x
Question
find the value of g-¹(-2) if g (x) =4-2x
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Mathematics
4 years
2021-07-21T07:39:53+00:00
2021-07-21T07:39:53+00:00 1 Answers
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Answer:
Solution given:
g-¹(-2)=?
we have
g(x)=4-2x
let
g(x)=y
y=4-2x
Interchanging role of x and y
x=4-2y
2y=4-x
dividing both side by 2
2y/2=(4-x)/2
y=(4-x)/2
f-¹(x)=(4-x)/2
now
Substitute value -2 in place of x
f-¹(-2)=(4-(-2))/2=(4+2)/2=6/2=3
the value of g-¹(-2) is 3.