Evaluate the function rule for the given value.

Y=15•3^x for x=-3

1 answer

To evaluate the function rule for the given value x=-3, we substitute -3 into the function and solve for y.

Y = 15 * 3^x
Y = 15 * 3^(-3)

To evaluate 3^(-3), we can rewrite it as 1 / 3^3.

Y = 15 * (1 / 3^3)
Y = 15 * (1/27)
Y = 15/27
Y = 5/9

Therefore, when x = -3, the value of y is 5/9.