Question

Question 9 f(x)={(x+1. if x<0),(-x+1, if 0<=x<=2),(x-1, if x>2):} g(x)={((x)/(3), if x<=0),(2x-6, if 0=2):} Use the above piecewise functions to evaluate the following 17g(-3)+g(13)

Answer 1

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.

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