If f(x)=4 x+1 and g(x)=k x+2 such that f o g(x)= gof (x) , then what is the value of k ?

Step-by-step solution

aligned & Given that f(g(x))=g(f(x)) & (f(k x+2)=g(4 x+1) & 4(k x+2)+1=k(4 x+1)+2 & 4 k x+9=4 k x+k+2 k=7 aligned