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Additional Mathematics
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Additional Mathematics
Composite Functions
Additional Mathematics
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Composite Functions
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Composite of two function
The process of combination by replacing two function f and g to generate f[g(x)] or g[f(x)]
fg(x) is read as “f composed with g of x”
defined by fg(x) = f [g(x)]
gf(x)
g composed with f of x
fg(x)= f[g(x)] or gf(x)=g[f(x)]
So fg(x) is not equal to gf(x)
function gf maps set P to set R
Input for g(x) is x+1
Output for g(x) is x+1+2
gf(x)=x+3
Substituting the value of the object into a composite function, the image can be obtained
If the value of the image is given, then the value of the object can be determined by solving the equation
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