Final answer:
To find the values of g(5) and g(-4) for the function g(x) = 3x + 2, we substitute the respective values of x and perform the operations of multiplication and addition to get the results; g(5) = 17 and g(-4) = -10. The function involves multiplication followed by addition.
Step-by-step explanation:
The student seems to have made a typo when referring to the function as 9(x) instead of g(x). Assuming the function meant is g(x) = 3x + 2 as stated initially, we can answer the questions:
- To find g(5), substitute x with 5: g(5) = 3(5) + 2 = 15 + 2 = 17.
- To find g(-4), substitute x with -4: g(-4) = 3(-4) + 2 = -12 + 2 = -10.
- The mathematical operations in the function g(x) are multiplication and addition, in that order.
The equation provided for illustration, y = 9 + 3x, has the structure of a linear equation which graphically represents a straight line when plotted using different values of x and y.