Given
f(x) = -2x - 5
g(x) = x-2
Find
graph shows the composite function (f•g)(x)
Explanation
first w have to find the composite function,
so ,
[tex]\begin{gathered} (f\cdot g)(x)=f(g(x)) \\ (f\cdot g)(x)=f(x-2) \\ (f\cdot g)(x)=-2(x-2)-5 \\ (f\cdot g)(x)==-2x+4-5 \\ (f\cdot g)(x)=-2x-1 \end{gathered}[/tex]
so the required graph is
Final Answer
Hence , the required option is C
