Exercises: Combine Standard Function Types Using Arithmetic Operations

Work through each section in order. Show your work for all computation problems.

Grade 9·21 problems·~28 min·Common Core Math - HS Functions·standard·hsf-bf-a-1b

Work through problems with immediate feedback

Warm-Up: Review What You Know

If $f(x) = x^2$ and $g(x) = 3x$ , what is $(f + g)(2)$ ?

If $f(5) = 12$ and $g(5) = 3$ , what is $(f - g)(5)$ ?

If $f(x) = 2x + 1$ and $g(x) = x^2$ , what is $(f \cdot g)(3)$ ?

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

$x^2 + 2x + 1$

$2x^2 + 1$

$(2x + 1)(x^2)$

$2x^2 + 1$ (from substituting $g$ into $f$ )

Let $f(x) = 3x - 2$ and $g(x) = x + 5$ . Simplify $(f - g)(x) = ax + b$ . What is the coefficient $a$ ?

Let $f(x) = x + 4$ and $g(x) = x - 1$ . What is the constant term of $(f \cdot g)(x)$ ?

Let $f(x) = \sqrt{x}$ (domain: $x \geq 0$ ) and $g(x) = x + 3$ (domain: all reals). What is the domain of $(f + g)(x)$ ?

All real numbers

$x \geq 0$

$x \geq -3$

All reals except $x = 0$

Let $f(x) = x^2 + 1$ and $g(x) = x - 2$ , both with domain: all reals. What additional restriction applies to the domain of $(f/g)(x)$ ?

$x \neq -1$

$x \neq 0$

$x \neq 2$

No additional restriction

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

0 of 8 answered

Answer all problems to submit.

Was this practice set helpful?

Curriculum materials by K12worX, licensed under CC BY 4.0. You may share and adapt them, including commercially, with credit.

Questions or problems?

We read every message. Contact us →