F(x)=x+2/5 what is the value of f^-1(-3)

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21-12-2017
Mathematics

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F(x)=x+2/5 what is the value of f^-1(-3)

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IssacAsimov IssacAsimov · Answer 1 · 2017-12-21T14:58:34+01:00

IssacAsimov IssacAsimov

21-12-2017

Let y = x + 2/5.
∴ x = y - 2/5

Now, interchange x and y,
∴ y = x - 2/5
Therefore, f⁻¹(x) = x - 2/5 --- (i)
Now, plug x = -3 in (i),
∴ f⁻¹(-3) = -3 - 2/5 = -17/5

Therefore,
f⁻¹(-3) = -17/5

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