Question

inverse equation of f(x)=3x+4 please show all steps

Answer 1

The idea is to replace f(x), swap x and y, then solve for y.

f(x)=3x+4

y=3x+4

x=3y+4

x-4=3y

(x-4)/3 = y

y = (x-4)/3

So the inverse function is \[\Large f^{-1}(x) = \frac{x-4}{3}\]

Answer 2

oops meant to write "replace f(x) with y"

Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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