Question

Which function below is the inverse of f(x) = The quantity of two x plus three, over five.

Answer 1

\[f(x) = \frac{2x + 3}{5}\]
Inverse = switch the 'x' and the 'y' and solve for 'y' again...so

\[x = \frac{2y + 3}{5}\]

Multiply both sides by 5

\[5x = 2y + 3 \]

Subtract 3 from both sides

\[5x - 3 = 2y\]

Divide everything by 2 to isolate and solve for y

\[y = \frac{5x - 3}{2}\]

Make sense?

Answer 2

yess , thankyou