Question

Determine whether these two functions are inverses. Show your work please. f(x)= 1/x+4-9; g(x)=1/3x+9

Answer 1

Answer: No they are not inverses.

Explanation:

If they are inverses, then the inverse of f(x) will equal g(x).

`y=(1)/(x+4)-9\\\\\\\text{Swap the x's and y's:}\\x=(1)/(y+4)-9\\\\\\\text{Solve for y:}\\x+9=(1)/(y+4)\\\\y+4=(1)/(x+9)\\\\y=(1)/(x+9)-4`

f⁻¹(x) ≠ g(x) so they are not inverses