f ( x ) = x + 7 a n d g ( x ) = − 2 x − 9 f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9 f ( x ) = x + 7 a n d g ( x ) = − 2 x − 9 Find: ( g − f ) ( x ) \left(g-f\right)\left(x\right) ( g − f ) ( x )

− 3 x − 16 -3x-16 − 3 x − 1 6

− 3 x − 2 -3x-2 − 3 x − 2

Add, Subtract, and Multiply Functions

Authored by Erin Wadel

Mathematics

9th - 12th Grade

CCSS covered

Used 41+ times

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10 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$

Find: $\left(f+g\right)\left(4\right)$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f-g\right)\left(3\right)$

-7

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f\cdot g\right)\ \left(-1\right)$

-2

-6

-12

-1

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(g-f\right)\ \left(2\right)$

-2

-22

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f+\ g\right)\left(x\right)$

$x^2+3x\ +7$

$x^2\ +3x+3$

$x^2+3x\ -\ 3$

$x^2+3x\ -7$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(f+g\right)\left(-3\right)$

-5

-11

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(g-f\right)\left(x\right)$

$-3x-16$

$3x+16$

$-3x-2$

$3x-2$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4$
Find: $\left(f\cdot g\right)\left(x\right)$

$x^4-5x^3+24x-32$

$x^4-x^2+20x-32$

$x^4-5x^3+4x^2+20x-32$

$x^4-5x^3+12x^2+20x-32$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4$
Find: $\left(g-f\right)\left(x\right)$

$5x+12$

$\ -5x-12\$

$-5x+4\ \$

$\ 5x-12\ \$

Tags

CCSS.HSF-BF.A.1B

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\ f\left(x\right)\ =x^2-5x+8\ \ \ \ \ \ \ and\ \ \ \ \ \ \ g\left(x\right)=x^2-4$
Find: $\left(f-g\right)\left(-4\right)$

-32

-8

Tags

CCSS.HSF-BF.A.1B

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Add, Subtract, and Multiply Functions

f(x) = x2 − 2 and g(x) = 3x + 5f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5f(x) = x2 − 2 and g(x) = 3x + 5 Find: (f+g)(4)\left(f+g\right)\left(4\right)(f+g)(4)

f(x) = x2 − 2 and g(x) = 3x + 5f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5f(x) = x2 − 2 and g(x) = 3x + 5 Find: (f−g)(3)\left(f-g\right)\left(3\right)(f−g)(3)

f(x) = x2 − 2 and g(x) = 3x + 5f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5f(x) = x2 − 2 and g(x) = 3x + 5 Find: (f⋅g) (−1)\left(f\cdot g\right)\ \left(-1\right)(f⋅g) (−1)

f(x) = x+7 and g(x) = −2x −9f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9f(x) = x+7 and g(x) = −2x −9 Find: (g−f) (2)\left(g-f\right)\ \left(2\right)(g−f) (2)

f(x) = x2 − 2 and g(x) = 3x + 5f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5f(x) = x2 − 2 and g(x) = 3x + 5 Find: (f+ g)(x)\left(f+\ g\right)\left(x\right)(f+ g)(x)

f(x) = x+7 and g(x) = −2x −9f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9f(x) = x+7 and g(x) = −2x −9 Find: (f+g)(−3)\left(f+g\right)\left(-3\right)(f+g)(−3)

f(x) = x+7 and g(x) = −2x −9f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9f(x) = x+7 and g(x) = −2x −9 Find: (g−f)(x)\left(g-f\right)\left(x\right)(g−f)(x)

f(x) = x2−5x+8 and g(x)= x2−4f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4f(x) = x2−5x+8 and g(x)= x2−4 Find: (f⋅g)(x)\left(f\cdot g\right)\left(x\right)(f⋅g)(x)

f(x) = x2−5x+8 and g(x)= x2−4f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4f(x) = x2−5x+8 and g(x)= x2−4 Find: (g−f)(x)\left(g-f\right)\left(x\right)(g−f)(x)

f(x) =x2−5x+8 and g(x)=x2−4\ f\left(x\right)\ =x^2-5x+8\ \ \ \ \ \ \ and\ \ \ \ \ \ \ g\left(x\right)=x^2-4 f(x) =x2−5x+8 and g(x)=x2−4 Find: (f−g)(−4)\left(f-g\right)\left(-4\right)(f−g)(−4)

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Discover more resources for Mathematics

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$

Find: $\left(f+g\right)\left(4\right)$

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f-g\right)\left(3\right)$

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f\cdot g\right)\ \left(-1\right)$

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(g-f\right)\ \left(2\right)$

$f\left(x\right)\ =\ x^2\ -\ 2\ \ \ \ and\ \ \ \ g\left(x\right)\ =\ 3x\ +\ 5$
Find: $\left(f+\ g\right)\left(x\right)$

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(f+g\right)\left(-3\right)$

$f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$
Find: $\left(g-f\right)\left(x\right)$

$f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4$
Find: $\left(f\cdot g\right)\left(x\right)$

$f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4$
Find: $\left(g-f\right)\left(x\right)$

$\ f\left(x\right)\ =x^2-5x+8\ \ \ \ \ \ \ and\ \ \ \ \ \ \ g\left(x\right)=x^2-4$
Find: $\left(f-g\right)\left(-4\right)$