The values of a and b are 4 and -3
<h3>How to solve for (a) and (b)?</h3>
To solve for a, we make use of the function f(x).
x    f(x)
2     4
0     5
2     a
3     7
Remove the x values 0 and 3
x    f(x)
2     4
2     a
The above table implies that:
f(2) = 4 and f(2) = a
Substitute 4 for f(2) in f(2) = a
4 = a
Rewrite as:
a = 4
To solve for b, we make use of the function g(x).
x    g(x)
2     b
0     0
2     -3
3     -4
Remove the x values 0 and 3
x    g(x)
2     b
2     -3
The above table implies that:
f(2) = b and f(2) = -3
Substitute -3 for f(2) in f(2) = b
-3 = b
Rewrite as:
b = -3
Hence, the values of a and b are 4 and -3
Read more about functions at:
brainly.com/question/13153717
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<u>Complete question</u>
Use the Symmetry of a Function to Find Coordinates 
f is an even function             g is an odd function
x    f(x)                                        x             g(x)
2     4                                          2              b
0     5                                          0              0
2     a                                          2              -3
3     7                                          3              -4
Find a and b