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skelet666 [1.2K]
3 years ago
15

Find an equation for the inverse of the following relation.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

f^{-1}(x) = \frac{3x-15}{2}

Step-by-step explanation:

Given

y = \frac{2}{3} x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

\frac{3y-15}{2} = x

Replace x by f^{-1} (x) and y by x, thus

f^{-1} (x) = \frac{3x-15}{2}

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