The expression
is evaluated using the given functions' graphs. Substituting the corresponding values yields
To find f(−4)−3⋅g(−2), we look at the given values in the functions' graphs. For f(−4), we find that the corresponding y-value is -3. For g(−2), the corresponding y-value is 3. Substituting these values into the expression:
Therefore, f(−4)−3⋅g(−2) = -12. The graph values indicate that at x = -4 in function f, the y-value is -3, and at x = -2 in function g, the y-value is 3. Subtracting three times the g value from the f value gives -12.