Question

what is the domain of the function f(x)=4^x-3?

Answer 1

So,

We want to find the domain of the function:

$f(x)=4x^{-3}$

We could rewrite this function as:

$f(x)=\frac{4}{x^3}$

Remember that the domain of a function f(x) is defined as all the values that the variable "x" could take.

In this case, notice that if x=0, the function f is not defined. But, "x" can take any other value.

So, the domain is:

$D_f=R-\mleft\lbrace0\mright\rbrace$

That's all the real numbers less zero.

This can be written in interval notation as:

$D_f=(-\infty,0)U(0,\infty)$