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

The domain of f(x)=log_{2x+3}(x^2+3x-4) is x>1

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

domain

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

x > 1

Interval Notation

(1, \infty)

Solution steps

Check logs domain:

x > 1

The function domain

x > 1

y = \frac{( x + 3 ) ( x - 4 )}{( 3 x + 1 ) ( 2 x - 3 )}

f (x) = \frac{x ^{3} + 8}{x ^{2} + 5 x + 6}

f (x) = sin^{3} (x)

f (x) = ln (x + 1)

f (g) = x - 3

What is the domain of f(x)=log_{2x+3}(x^2+3x-4) ?
The domain of f(x)=log_{2x+3}(x^2+3x-4) is x>1