Given f(x)=5x+7 and g(x)=5x-1 find the composite of (fg)(x)

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f(x)=5x+7

g(x)=5x-1.

Therefore. (fg)(x) is the function f of g of x =f o g (x)

or f (g(x)) .

Therefore,

f(g(x)) = 5[g(x)]+7

=5[5x-1]+7

=25x-5+7

=25x+2.

f(g(x)) =25x+2

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