Answer:
[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]
Step-by-step explanation:
To solve for the inverse, we need to switch the variables and solve for y.
Note that f(x) is the same as y or in other words, the output.
f(x) = 3x + 5
y = 3x + 5
~Switch variables
x = 3y + 5
~Subtract 5 to both sides
x - 5 = 3y
~Divide 3 to everything
1/3x - 5/3 = y
~Flip
y = 1/3x - 5/3
Best of Luck!
