The given function is f(x) = x^2 - 5.

We can find the value of this function for different values of x by substituting them in the expression for f(x).

Substituting x = 0.5 in f(x) = x^2 - 5

=> 0.5^2 - 5

=> 0.25 - 5

=> - 4.75

**Therefore f(0.5) = -4.75**

Substituting x = h+1 in f(x) = x^2 - 5

=> (h+1)^2 - 5

=> h^2 + 2h + 1 - 5

=> h^2 + 2h - 4

**Therefore f(h+1) = h^2 + 2h - 4**

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