Respuesta :

Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.

Thus, I am solving based on it. It would still clear your concept.

Answer:

The inverse of f(x)=9x+7

  • [tex]\frac{x-7}{9}[/tex]

Step-by-step explanation:

Given the function

[tex]f(x)=9 x + 7[/tex]

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

[tex]x=9y+7[/tex]

solve for y

[tex]9y=x-7[/tex]

[tex]y=\:\frac{x-7}{9}[/tex]

Therefore,

The inverse of f(x)=9x+7 is:

  • [tex]\frac{x-7}{9}[/tex]

i.e.

[tex]\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}[/tex]

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