Question

If f(x)...............

Answer 1

Answer:

The inverse is 5x-6

Step-by-step explanation:

To find the inverse of a function

y = ( x+6) /5

Exchange x and y

x = ( y+6)/5

Solve for y

Multiply each side by 5

5x = (y+6)/5 *5

5x = y+6

Subtract 6  from each side

5x-6 = y+6-6

5x-6 =y

The inverse is 5x-6

Answer 2

Step-by-step explanation:

$f(x) = \frac{x + 6}{5}$

$\:$

$y = \frac{x + 6}{5}$

$\frac{y + 6}{5} = x$

$y + 6 = 5\times x$

$y + 6 = 5x$

$y = 5x - 6$

${f}^{ - 1} (x) = 5x - 6$

The answer is D.