Question

F(x)= x2 – 10x -11g(x)= x+1Find (f •g)(x)

Answer 1

To find (f *g)(x), we need to multiply both functions as:

`\begin{gathered} (f\cdot g)(x)=f(x)\cdot g(x) \\ (f\cdot g)(x)=(x^2-10x-11)(x+1) \end{gathered}`

So, applying distributive property, we get:

`\begin{gathered} (f\cdot g)(x)=(x^2\cdot x)+(x^2\cdot1)-(10x\cdot x)-(10x\cdot1)-(11\cdot x)-(11\cdot1) \\ (f\cdot g)(x)=x^3+x^2-10x^2-10x-11x-11 \end{gathered}`

Adding like terms, we get: