Question

Help me answer as soon as possible, thank you!A and B only

Answer 1

(a)4

(b)7

Explanation:

Given f(x) and g(x) defined below:

`\begin{gathered} f(x)=\{(3,2),(5,1),(7,4),(9,3),(11,5)\} \\ g(x)=\{(1,3),(2,5),(3,7),(4,9),(5,11)\} \end{gathered}`

(a) f(g(3))

`\begin{gathered} g(3)=7 \\ f\lbrack g(3)\rbrack=f(7)=4 \\ \implies f\lbrack g(3)\rbrack=4 \end{gathered}`

The value of f(g(3)) is 4.

(b) (g o f)(9)

`\begin{gathered} (g\circ f)(9)=g\lbrack f(9)\rbrack \\ f(9)=3 \\ g\lbrack f(9)\rbrack=g(3)=7 \\ \implies(g\circ f)(9)=7 \end{gathered}`

The value of (g o f)(9) is 7.