Question

Consider function f and g f(x)=x^2+7x g(x)=3x-1 what is the value of (f•g)(x)

Answer 1

9514 1404 393

Answer:

  B.  9x² +15x -6

Step-by-step explanation:

The composition operator means that function f is applied to function g:

  $(f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}$