HSF.BF.A.1.b Tutor Intake — Combining Functions with Arithmetic Operations

Which expression correctly defines $(f + g)(x)$?

Let $f(x) = 2x + 1$ and $g(x) = 3x - 5$. Evaluate $(f + g)(4)$.

Let $f(x) = \sqrt{x}$ (defined for $x \geq 0$) and $g(x) = \dfrac{1}{x - 3}$
(defined for $x \neq 3$). What is the domain of $(f + g)(x)$?

A store's revenue function is $R(x) = 50x$ and its cost function is
$C(x) = 1000 + 20x$, where $x$ is the number of items sold. Which
function gives the store's profit?

Let $f(x) = x^2$ and $g(x) = 3x$. Evaluate $(f + g)(2)$.

Let $f(x) = 5x$ and $g(x) = x^2 - 1$. Evaluate $(f - g)(3)$.

Let $f(x) = 2x + 1$ and $g(x) = x^2$. Evaluate $(f \cdot g)(3)$.

Let $f(x) = x + 4$ and $g(x) = x^2 - 1$. Which expression equals $(f + g)(x)$?

Let $f(x) = \sqrt{x + 1}$ and $g(x) = x^2$. What is the domain of
$\dfrac{f}{g}(x) = \dfrac{\sqrt{x+1}}{x^2}$?