What is the domain of f(x)=log_{10}(4x+3)-2 ?

The domain of f(x)=log_{10}(4x+3)-2 is x>-3/4

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domain of f(x)=log_{10}(4x+3)-2

domain

f (x) = lo g_{10} (4 x + 3) - 2

x > - \frac{3}{4}

Interval Notation

(- \frac{3}{4}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{3}{4}

The function domain

x > - \frac{3}{4}

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

y = \frac{8}{3 ^{2}} (- ∣ x ∣ + 5)^{2} + 10

\frac{x ^{2} - 5 x + 6}{x ^{2} - 9 x + 14}

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

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

What is the domain of f(x)=log_{10}(4x+3)-2 ?
The domain of f(x)=log_{10}(4x+3)-2 is x>-3/4