Final answer:
To solve for g(4), substitute 4 into the function g(x) = x^2 - 3x, resulting in 4. For h(1), substitute 1 into the function h(x) = |x-6|+3, resulting in 8.
Step-by-step explanation:
To find g(4) for the function g(x) = x^2 - 3x, you simply substitute the value of 4 into the function:
g(4) = (4)^2 - 3(4) = 16 - 12 = 4.
Therefore, g(4) equals 4.
For the function h(x) = |x-6|+3, to find h(1), you again substitute the value of 1 into the function:
h(1) = |1-6|+3 = |-5|+3 = 5 + 3 = 8.
Therefore, h(1) equals 8.