Question

Let f(x)=x^2-5x and g(x)=3-x find (fg)(4)

Answer 1

Given:

$\begin{gathered} f\mleft(x\mright)=x^2-5x \\ g\mleft(x\mright)=3-x \end{gathered}$

Required:

Find (fg)(4)

Explanation:

Given functions are

$\begin{gathered} f(x)=x^{2}-5x \\ g\mleft(x\mright)=3-x \end{gathered}$$\begin{gathered} (fg)(4)=f(4)g(4) \\ (fg)(4)=[(4)^2-5(4)][3-4] \\ (fg)(4)=[16-20](-1) \\ (fg)(4)=(-4)(-1_) \\ (fg)(4)=4 \end{gathered}$

Final answer:

The value of (fg)(4) = 4