SOLUTION: Find the functions f ○ g and g ○ f.
f(x)=5x-9 ; g(x)=1/5(x+9)
(f ○ g)(x) =
(g ○ f)(x) =
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-> SOLUTION: Find the functions f ○ g and g ○ f.
f(x)=5x-9 ; g(x)=1/5(x+9)
(f ○ g)(x) =
(g ○ f)(x) =
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You can put this solution on YOUR website! Find the functions f ○ g and g ○ f.
f(x)=5x-9 ; g(x)=1/5(x+9)
(f ○ g)(x) = f[g(x)] = f[(1/5)(x+9)] = 5[(1/5)(x+9)]-9 = x
(g ○ f)(x) = g[f(x)] = g[5x-9] = (1/5)(5x-9+9) = x
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Comment:: That means f and g are inverse to one another.
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Cheers,
Stan H.
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You can put this solution on YOUR website! Hi there,
f(x) = 5x - 9
g(x) = 1/5(x + 9)
(f o g)(x) = 5(1/5(x + 9) - 9)
(f o g)(x) = (x + 9)- 9
(f o g)(x) = x + 9 - 9
(f o g)(x) = x
.........
(g o f)(x) = 1/5(5x - 9 + 9)
g o f)(x) = 1/5(5x)
(g o f)(x) = x
.........
The reason for the answer of 'x'
in both cases is f(x) is the inverse
of g(x) and g(x) is the inverse of f(x)
Hope this helps :-)
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