161k views
4 votes
Determine whether the functions are inversef(x) = 2(×-4)

User Drdaeman
by
8.2k points

1 Answer

5 votes

To determine the inverse function :


f(x)=\text{ 2(x-4)}
\begin{gathered} f(x)=\text{ y} \\ y=2x-8 \\ y+8=2x \\ 2x=y+8 \end{gathered}

The inverse function is calculated by replacing the x with y variable


\begin{gathered} (2x)/(2)=(y)/(2)+(8)/(2) \\ x=(y+8)/(2) \\ f^(-1)(x)=(x+8)/(2) \end{gathered}

Therefore the inverse function :


f^(-1)(x)=(x+8)/(2)

User Biquillo
by
7.8k points

Related questions

asked Jul 7, 2022 229k views
Nicolas BADIA asked Jul 7, 2022
by Nicolas BADIA
7.3k points
1 answer
4 votes
229k views
asked Aug 11, 2023 31.2k views
Arithran asked Aug 11, 2023
by Arithran
7.3k points
1 answer
2 votes
31.2k views
asked May 4, 2023 97.5k views
David Allen asked May 4, 2023
by David Allen
7.7k points
1 answer
4 votes
97.5k views