The function f is such that f(x) = x 2 5x + 5 for x

Question:

The function f is such that f(x) = x2 − 5x + 5 for x ∈ ℝ.
a. Find the set of values of x for which f(x) ≤ x. 

b. The line y = mx − 11 is a tangent to the curve y = f(x).

Find the two possible values of m.

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