Answer:
[tex]f(g(5)) = 5[/tex]
[tex]g(f(4)) = 0[/tex]
[tex]f(f(6))=1[/tex]
[tex]g(g(9)) = 0[/tex]
Step-by-step explanation:
Given
The attached table of values
Solving (a): f(g(5))
First, we solve for g(5)
[tex]g(5) = 7[/tex]
So:
[tex]f(g(5)) = f(7)[/tex]
Next, we solve for f(7).
From the table
[tex]f(7) = 5[/tex]
So:
[tex]f(g(5)) = 5[/tex]
Solving (b): g(f(4))
First, we solve for f(4)
[tex]f(4) = 6[/tex]
So:
[tex]g(f(4)) = g(6)[/tex]
Next, we solve for g(6).
From the table
[tex]g(6) = 0[/tex]
So:
[tex]g(f(4)) = 0[/tex]
Solving (c): f(f(6))
First, we solve for f(6)
[tex]f(6) = 8[/tex]
So:
[tex]f(f(6)) = f(8)[/tex]
Next, we solve for f(8).
From the table
[tex]f(8) = 1[/tex]
So:
[tex]f(f(6))=1[/tex]
Solving (d): g(g(9))
First, we solve for g(9)
[tex]g(9) = 6[/tex]
So:
[tex]g(g(9)) = g(6)[/tex]
Next, we solve for g(6).
From the table
[tex]g(6) = 0[/tex]
So:
[tex]g(g(9)) = 0[/tex]
