Question

Match the corresponding function formula with each function when h(x)=3x+2 and g(x)=2^x

Answer 1

Hello,

$h(x)=3x+2 \\ g(x)=2^x \\\\ 1) 2^x+3x+2=2^x+(3x+2)=g(x)+h(x)\ answer\ A\\\\ 2)2^x-3x-2=2^x-(3x+2)=g(x)-h(x)\ answer\ C\\\\ 3)(3x)2^{-x}+2^{-x+1}=2^{-x}*(3x+2)= \dfrac{3x+2}{2^x} = \dfrac{h(x)}{g(x)}\ answer\ B\\\\ 4) 2^{3x+2}=2^{h(x)}=g(h(x))=(goh)(x)\ answer\ E\\\\ 5) 2^x*(3x+2)=g(x)*h(x)\ answer\ D\\\\ 6) 3*(2^x)+2 =3*g(x)+2=h(g(x))=hog(x)\ answer\ F$