Given: f(x) = 7x + 13 and (f◦g)(x) = 63x +48
Find g(x) = m x + n
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f(x) = 7x + 13 and (f◦g)(x) = 63x +48
Find g(x) = m x + n
7x+13+mx+ n=63x+48
(7+m)x+13+n=63x+48
Therefore,
(7+m)x=63x
7+m=63
m=63-7
=56
13+n=48
n=48-13
=35
Hence,
g(x)=56x+35
Find g(x) = m x + n
7x+13+mx+ n=63x+48
(7+m)x+13+n=63x+48
Therefore,
(7+m)x=63x
7+m=63
m=63-7
=56
13+n=48
n=48-13
=35
Hence,
g(x)=56x+35
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