Final answer:
To evaluate 17g(-3) + g(13), we substitute -3 and 13 into the functions g(x) and 17g(x) respectively. The result is 3.
Step-by-step explanation:
To evaluate the expression 17g(-3)+g(13) using the given piecewise functions, we need to substitute the values of -3 and 13 into the functions g(x) and 17g(x) respectively.
For g(x), when x <= 0, the function is (x/3). So, g(-3) = (-3/3) = -1.
For g(x), when x > 0 and x <= 2, the function is (2x-6). So, g(13) = 2(13)-6 = 20.
Now, substituting these values into the expression, we get 17g(-3) + g(13) = 17(-1) + 20 = 3.
Learn more about Evaluating piecewise functions