Which of the following represents the inverse function
of f(x) = 1
3x – 5 ?
To find the inverse function of f(x), we first need to replace f(x) with y:
y = 1/(3x - 5)
Then, we will swap x and y and solve for y:
x = 1/(3y - 5)
Now solve for y:
3yx - 5x = 1
3yx = 1 + 5x
y = (1 + 5x)/3x
Therefore, the inverse function of f(x) = 1/(3x – 5) is f^(-1)(x) = (1 + 5x)/(3x).