Jika diketahui f(x)=2^3x dan g(x)=^2log 4x,maka (gof) (x) adalah

(gof)(x) = g(f(x))
= ²log 4(2^3x)
= ²log 2^2(2^3x)
= ²log 2^(2 + 3x)
= 2 + 3x

[tex]f(x) = {2}^{3x} \\ g(x) = ^{2} log_{4x} \\ (gof)(x) = ... \\ \\ g(f(x)) = {}^{2} log_{4( {2}^{3x}) } \\ = {}^{2} log( {2}^{2} )( {2}^{3x} ) \\ = {}^{2} log( {2}^{2 + 3x} ) \\ = (2 + 3x) {}^{2} log(2) \\ = (2 + 3x)(1) \\ = 2 + 3x[/tex]
Jadi, (gof)(x) = 2 + 3x