Answered

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Determine the inverse of the following function and explain the process you used to find it. f(x)=3x+1

Determine The Inverse Of The Following Function And Explain The Process You Used To Find It Fx3x1 class=

Sagot :

To find the inverse we write the function as:

[tex]y=3x+1[/tex]

Now we interchange the name of the variable, that is:

[tex]x=3y+1[/tex]

Now we solve the equation for y:

[tex]\begin{gathered} x=3y+1 \\ 3y=x-1 \\ y=\frac{x-1}{3} \end{gathered}[/tex]

Therefore the inverse functioni is:

[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]

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