Question

Which function below is the inverse of f(x)= 3x+5/7

Answer 1

Answer:

$\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}$

Step-by-step explanation:

Given the function:

$f(x) = \frac{3x+5}{7}$

Put f(x) = y

$y = \frac{3x+5}{7}$

Interchange x and y

$x = \frac{3y+5}{7}$

Solve for y

$x = \frac{3y+5}{7}$

Multiplying both sides by 7

$7x = 3y+5$

Subtracting y to both sides

$7x-5 = 3y$

Dividing both sides by 3

$\frac{7x-5}{3} = y$

OR

$y = \frac{7x-5}{3}$

Put y = $f^{-1}(x)$

So,

$f^{-1}(x) = \frac{7x-5}{3}$

Hope this helped!

~AnonymousHelper1807