Question

Use the table of values to evaluate the expressions below.

Answer 1

(a)

f(g(0)) From the table

`\begin{gathered} g(0),\text{ that is the value of g\lparen x\rparen when x = 0 is 6} \\ put\text{ into f\lparen x\rparen, f\lparen6\rparen, that is value of f\lparen x\rparen when x = 6 is 2} \end{gathered}`

Hence f(g(0)) = 2

(b)

g(f(9)) from the table

`\begin{gathered} f(9)=8 \\ g(8)=1,\text{ } \\ \end{gathered}`

Hence g(f(9)) = 1

(c)

f(f(1))

`\begin{gathered} f(1)=7 \\ f(7)=5 \end{gathered}`

hence f(f(1)) = 5

(d)

g(g(2))

`\begin{gathered} g(2)=4 \\ g(4)=2 \end{gathered}`

Hence g(g(2)) = 2