Consider the function: f(x)=(x+1)/(x+2) (a) Find the domain of f.

Question

Consider the function: f(x)=(x+1)/(x+2) (a) Find the domain of f.

Answer 1

To find the domain of the function \( f(x) = \frac{x+1}{x+2} \), we need to determine the values of

for which the function is defined. The function is a rational function, and it is defined for all real numbers except where the denominator is zero.The denominator of the function is

. We set the denominator equal to zero to find the values of

that are not in the domain:

Solving for

:

Therefore, the function \( f(x) = \frac{x+1}{x+2} \) is undefined at

.The domain of

is all real numbers except

. In interval notation, the domain is:

So, the domain of

is:

Question

Consider the function: f(x)=(x+1)/(x+2) (a) Find the domain of f.

Solution

Resposta