Find the inverse function of the function f, of, x, equals, one fifth, x, plus, 3f(x)=

5
1

x+3

1 answer

To find the inverse function of f(x)=15x+3, we can follow these steps:

  1. Replace f(x) with y: y=15x+3

  2. Swap x and y: x=15y+3

  3. Solve for y:

    • First, subtract 3 from both sides: x3=15y
    • Next, multiply both sides by 5: 5(x3)=y
    • Simplify: y=5x15
  4. Write the inverse function: The inverse function is: f1(x)=5x15

Thus, the inverse function f1(x) is 5x15.