Respuesta :

wegnerkolmp2741o

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

syahbanazacki

Step-by-step explanation:

[tex]f(x) = \frac{x + 6}{5} [/tex]

[tex] \: [/tex]

[tex]y = \frac{x + 6}{5} [/tex]

[tex] \frac{y + 6}{5} = x[/tex]

[tex]y + 6 = 5\times x[/tex]

[tex]y + 6 = 5x[/tex]

[tex]y = 5x - 6[/tex]

[tex] {f}^{ - 1} (x) = 5x - 6[/tex]

The answer is D.

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