# calculus

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Find the point of discontinuing of the given function: 2 Marks
f (x) = 3x + 1
X2-7x+12

• calculus -

I assume it is
f (x)
3x + 1
=--------
x²-7x+12

Factor the denominator into factors. Anytime the denominator becomes zero, there will be a discontinuity in the function, since the function at these points will be undefined (division by zero is not allowed).

The denominator factors to (x-3)(x-4) and therefore will have 2 positive roots.

Can you find them?

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