dlenayevazuwygek dlenayevazuwygek
  • 15-03-2020
  • Mathematics
contestada

Determine if the two functions f and g are inverses of each other
algebraically. If not, why not?
f(x) = 9x + 12; g(x) = x-12/9

Determine if the two functions f and g are inverses of each other algebraically If not why not fx 9x 12 gx x129 class=

Respuesta :

freckledspots freckledspots
  • 15-03-2020

Answer:

Yes.

Step-by-step explanation:

[tex]f(g(x))[/tex]

[tex]f(\frac{x-12}{9})[/tex]  

( I will have to replace all [tex]x[/tex]'s in [tex]9x+12[/tex] with [tex](\frac{x-12}{9}[/tex])

[tex]9(\frac{x-12}{9})+12[/tex]

[tex](x-12)+12[/tex]

[tex]x-12+12[/tex]

[tex]x+(-12+12)[/tex]

[tex]x+0[/tex]

[tex]x[/tex]

So the answer is yes.

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