What is the range of f(x)=(12x)/(3x+4) ?

The range of f(x)=(12x)/(3x+4) is f(x) 4

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range of f(x)=(12x)/(3x+4)

range

f (x) = \frac{12 x}{3 x + 4}

f (x) < 4 or f (x) > 4

Interval Notation

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{12 x}{3 x + 4}

Inverse of

\frac{12 x}{3 x + 4} : - \frac{4 x}{3 ( x - 4 )}

- \frac{4 x}{3 ( x - 4 )}

Find the domain of each inverse function

Domain of

- \frac{4 x}{3 ( x - 4 )} : x < 4 or x > 4

Combine the intervals

f (x) < 4 or f (x) > 4

f (x) = \frac{5 x - 3}{36 - x ^{2}}

y = e^{- x}

\frac{5 x - 8}{5 x}

f (x) = x^{2} + 10

(7.5) (3.2)

What is the range of f(x)=(12x)/(3x+4) ?
The range of f(x)=(12x)/(3x+4) is f(x)<4\lor f(x)>4