If h(x)=1/5(x2-6)-8, what is h(4)?

To find h(4), we substitute 4 for x in the expression for h(x):

h(4) = 1/5(4^2 - 6) - 8

Calculating the expression inside the parentheses:
4^2 = 16

Substituting 16 into the expression:
h(4) = 1/5(16 - 6) - 8

Calculating 16 - 6:
16 - 6 = 10

Substituting 10 into the expression:
h(4) = 1/5(10) - 8

Calculating 1/5(10):
1/5(10) = 2

Substituting 2 into the expression:
h(4) = 2 - 8

Calculating 2 - 8:
2 - 8 = -6

Therefore, h(4) = -6.