Answer:
-6
Step-by-step explanation:
[tex]h(x)=\frac{1}{5} (x^2-6)-8[/tex]
we want to find h(4)
to do so we simply substitute 4 for the x's
[tex]h(4)=\frac{1}{5} ((4)^2-6)-8[/tex]
evaluate exponent : 4² = 16
[tex]h(4)=\frac{1}{5} (16-6)-8[/tex]
subtract 6 from 16
[tex]h(4)=\frac{1}{5} (10)-8[/tex]
multiply 1/5 and 10
[tex]h(4)=2-8[/tex]
subtract 2 and 8
[tex]h(4)=-6[/tex]
and we are done!
