What is the domain of f(x)=log_{10}(x^2-7x+12) ?

The domain of f(x)=log_{10}(x^2-7x+12) is x 4

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domain of f(x)=log_{10}(x^2-7x+12)

domain

f (x) = lo g_{10} (x^{2} - 7 x + 12)

x < 3 or x > 4

Interval Notation

(- \infty, 3) \cup (4, \infty)

Solution steps

Find positive values for logs:

x < 3 or x > 4

The function domain

x < 3 or x > 4

f (x) = - (x - 2)^{2} + 4

f (x) = x 9 - x^{2}

(x - 3)^{2} - 1

f (x) = \frac{2 x - 3}{x ^{2} - 5 x + 4}

f (x) = sec (x) csc (x)

What is the domain of f(x)=log_{10}(x^2-7x+12) ?
The domain of f(x)=log_{10}(x^2-7x+12) is x<3\lor x>4