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

The domain of f(x)=log_{10}(7-(-2)x) is x>-7/2

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

domain

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

x > - \frac{7}{2}

Interval Notation

(- \frac{7}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{7}{2}

The function domain

x > - \frac{7}{2}

f (x) = (x - 3) (x + 9)

f (x) = 2^{x - 1} - 1

f (x) = \frac{x}{4 - ln ^{2} ( x )}

x - 3 + \frac{x + 4}{x ^{2} - 9 x + 8}

f (x) = 2 x^{2} + 16 x - 1

What is the domain of f(x)=log_{10}(7-(-2)x) ?
The domain of f(x)=log_{10}(7-(-2)x) is x>-7/2