HELP!!!! Find the inverse of f(x)=5x-4. The inverse of f is g(x)= ?

Nija asked Nov 8, 2023

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20 votes

HELP!!!!
Find the inverse of f(x)=5x-4.
The inverse of f is g(x)= ?

Nija asked Nov 8, 2023

by Nija

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15 votes

If g(x) is the inverse of f(x), then by definition of inverse function,

f(g(x)) = g(f(x)) = x

Given that f(x) = 5x - 4, we have

f(g(x)) = 5 g(x) - 4 = x

Solve for g(x) :

5 g(x) - 4 = x

5 g(x) = x + 4

g(x) = (x + 4)/5

Luc Morin answered Nov 13, 2023

2.9k points

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