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kouthisstia
kouthisstia kouthisstia
  • 23-06-2016
  • Mathematics
Answered

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19..

Verified Answer :

JoshEast
JoshEast JoshEast
  • 23-06-2016

f(x) = 5 ( x + 4) - 6
y = 5 (x + 4)

interchange x and y and then solve for y
x = 5 (y + 4)

\(\frac{x}{5} = y + 4\)

\(y = \frac{x}{5} - 4\)

∴  \(f ^{-1} (x) = \frac{x}{5} - 4\)


Solve for x= 19 for the inverse found

\(f ^{-1} (19) = \frac{19}{5} - 4\)

\(f ^{-1} (19) = - \frac{1}{5}\)

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