msiermario msiermario
  • 18-10-2020
  • Mathematics
contestada

Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9

Respuesta :

jimrgrant1 jimrgrant1
  • 18-10-2020

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B

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