The composite function m(n(x)) is 70x²+ 19
Given the functions
m(x)=10x−9
n(x)=7x²+4
We need to get the composite function m(n(x))
m(n(x)) = m(7x²+4)
To get m(7x²+4), we need to replace x as 7x²+4 in function m(x) as shown:
m(7x²+4) = 10(7x²+4) - 9
m(7x²+4) = 70x²+ 28 - 9
m(7x²+4) = 70x²+ 19
Hence the composite function m(n(x)) is 70x²+ 19
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