For each of the following functions, identify any restrictions on its domain. f(x) = log(x-5)+1 -is there any value of x that would cause this function to be undefined? -if there are restrictions on the domain, explain those restrictions. -if there are no restrictions, explain why that is.

1) F(x) is not defined for x=5

2) Restriction for domain; x>5

Step-by-step explanation:

Here the given function is F(x) = log(x-5) +1

In this function if we put the value x =5 then F(5) becomes

F(5) = log(5-5) +1

F(5) = log 0 +1 = ∞

Which indicates that the function F(x) is not defined at x=5.

Now we know that for any negative value of x, logx is not defined Therefore F(x) is defined only for the value of (x-5)>0

Or there is a restriction on domain that x>5.

So there is one restriction on its domain for the given function.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.