Question

Evaluate expression using graph

Answer 1

To determine the expression from the graph attached

Step 1 :

`\begin{gathered} F(g(4))\text{ = F of g(4)} \\ \text{From the graph } \\ g(4)\text{ = }5\text{ , while f(5) = 4} \\ \text{Hence } \\ F(g(4))\text{ = 4} \end{gathered}`

Step 2 :

`\begin{gathered} g(f(2))\text{ = g of f(2)} \\ \text{From the graph } \\ f(2)\text{ = }5\text{ , while g(5) = }2 \\ \text{Hence } \\ g(f(2))\text{ = }2 \end{gathered}`

Step 3 :

`\begin{gathered} f(f(1))\text{ = f of f(1)} \\ \text{From the graph } \\ f(1)\text{ = 2, while f(2) = 5} \\ \text{Hence } \\ f(f(1))\text{ = }5 \end{gathered}`

Step 4 :

`\begin{gathered} g(g(0))\text{ = g of g(0)} \\ \text{From the graph } \\ g(0)\text{ = 1 , while g(1) = }3 \\ \text{Hence } \\ g(g(0))\text{ = }3 \end{gathered}`