199k views
0 votes
What is the algebraic inverse of the function? f(x) = 2x -6 please include steps

User Pfandrade
by
4.7k points

1 Answer

3 votes

9514 1404 393

Answer:

f^-1(x) = (x +6)/2

Explanation:

The inverse function is found by solving ...

x = f(y)

Here that is the solution to ...

x = 2y -6

x +6 = 2y . . . . . add 6

(x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

f^-1(x) = (x +6)/2

User Pepsighan
by
4.3k points