Question

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

1. K(x)=2^x+3x+2
2. K(x)=2^x-3x-2
3. K(x)=(3x)2^-x+2^-x+1
4. K(x)=2^3x+2
5.k(x)=2^x(3x+2)
6. K(x)=3(2^x)+2
————————————
A. K(x)=g(x)+h(x)
B. K(x)=h(x) divided g(x)
C.k(x)=g(x)-h(x)
D.k(x)=g(x)*h(x)
E. K(x)=g(x)•h(x)
F. K(x)=h(x)•g(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)= (3x+2)/(2^x) = (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\\\\`