Questions: The domain is x x ≠ 4/3. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (14) The domain is x x is any real number . (e) Find (f+g)(2). (f+g)(2)=18 (Type an integer or a simplified fraction.) (f) Find (f-g)(4). (f-g)(4)= (Type an integer or a simplified fraction.)

$The domain is x x ≠ 4/3. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (14) The domain is x x is any real number . (e) Find (f+g)(2). (f+g)(2)=18 (Type an integer or a simplified fraction.) (f) Find (f-g)(4). (f-g)(4)= (Type an integer or a simplified fraction.)$

Transcript text: The domain is $\left\{x \left\lvert\, x \neq \frac{4}{3}\right.\right\}$. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (14) The domain is $\{x \mid x$ is any real number $\}$. (e) Find $(\mathrm{f}+\mathrm{g})(2)$. $(\mathrm{f}+\mathrm{g})(2)=18$ (Type an integer or a simplified fraction.) (f) Find $(\mathrm{f}-\mathrm{g})(4)$. $(f-g)(4)=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Identify the domain of the function

The domain of the function is given as $ \left\{x \left\lvert\, x \neq \frac{4}{3}\right.\right\} $. This means the function is defined for all real numbers except $ x = \frac{4}{3} $.

Step 2: Identify the domain of another function

The domain of another function is given as $ \{x \mid x \text{ is any real number}\} $. This means the function is defined for all real numbers.

Step 3: Calculate $ (\mathrm{f}+\mathrm{g})(2) $

Given that $ (\mathrm{f}+\mathrm{g})(2) = 18 $, this is already provided as the solution. No further calculation is needed.