Answer:
[tex]g(x)=3x+2[/tex]
Step-by-step explanation:
we have
[tex]f(x)=2x[/tex] ----> linear equation
[tex]gof(x)=6x+2[/tex] ---> linear equation
therefore
g(x)-----> will be a linear equation
so
Let
[tex]g(x)=ax+b[/tex]
so
[tex]gof(x)=a(2x)+b[/tex] ----> equation A
[tex]gof(x)=6x+2[/tex] ----> equation B
equate equation A and equation B
[tex]a(2x)+b=6x+2[/tex]
[tex]2ax=6x ----> a=3[/tex]
[tex]b=2[/tex]
Hence
[tex]g(x)=3x+2[/tex]
