How do you find the domain and range of $f(x) = ln(4 - 2x)$ ?

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Answer 1 · 2017-10-09T14:39:24

$x in(-oo,2)$ and $f(x) in(-oo,+oo)$

In this question we are going to apply conditions.

If we have a logarithmic function as $lna$ we know that $a>0$ .

When we apply it to your question-->

$(4-2x)>0$

$(-2x)>(-4)$

$2x<4$

$x<2$ which in interval notation is $x in(-oo,2)$
This is our domain.

Now for the range --.>

The range would be all real numbers ,i.e, $f(x) in(-oo,+oo)$

How do you find the domain and range of f(x) = ln(4 - 2x)f(x) = ln(4 - 2x)?