anonymous
  • anonymous
The functions f and g are defined by f:x ---> 3x+2 x all Real numbers g:x ---> {6 over 2x+3} " xnotequalto -1.5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
find the value of x for which fg(x) = 3
anonymous
  • anonymous
does x=3?
anonymous
  • anonymous
f(g(x)) = 3(6/(2x+3)) +2 = 18/(2x+3) + 2 therefore 18/(2x+3) + 2 = 3 so 18/ (2x+3) = 1. so 2x+3 = 18 so 2x = 15 so x = 7.5

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anonymous
  • anonymous
OK
anonymous
  • anonymous
(ii) says sketch, in a single diagram, the graphs of y=f(x) and y=f^-1(x), making clear the relationship between the two graphs
anonymous
  • anonymous
is f^-1 y=x-2 over 3?
anonymous
  • anonymous
|dw:1332697616208:dw|
anonymous
  • anonymous
No, it is the inverse function, so it is a reflection over the line y = x
anonymous
  • anonymous
Yes, but isn't that the inverse?
anonymous
  • anonymous
oh. Sorry. Yes it is

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