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Combining Functions and Domain

Authored by Melissa Moore

Mathematics

10th Grade

CCSS covered

Used 22+ times

Combining Functions and Domain
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Perform (g - f)(x) given  g(x)=2x1g\left(x\right)=-2x-1  and  f(x)=3x+4f\left(x\right)=3x+4  

 5x+55x+5  

 5x5-5x-5  

 x2+2x4-x^2+2x-4  

 5x+5-5x+5  

Tags

CCSS.HSF-BF.A.1B

2.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Perform \left(h\cdot g\right)\left(x\right)  given  h(x)=2x5h\left(x\right)=2x-5  and  g(x)=x24g\left(x\right)=x^2-4  

 2x35x28x+202x^3-5x^2-8x+20  

 2x33x2+9x-2x^3-3x^2+9x  

 4x2+8x-4x^2+8x  

 2x35x2+8x+20-2x^3-5x^2+8x+20  

Tags

CCSS.HSF-BF.A.1B

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 f(x)=x2+1f\left(x\right)=x^2+1  and  g(x)=x+1g\left(x\right)=x+1  Which of the following best represents  f(g(x))f\left(g\left(x\right)\right)  ?

 x2+2x^2+2  

 x2+2x+2x^2+2x+2  

 x2+3x^2+3  

 x2+4x+4x^2+4x+4  

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What kind of number does not produce a real number if under an even root?

a fraction

whole number

negative number

zero

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the domain of

 f(x)=x+3f\left(x\right)=\sqrt{x+3}  

 3x<-3\le x<\infty  

 <x3-\infty<x\le-3  

 3x<3\le x<\infty  

All Real Numbers

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What number CANNOT be in the denominator of a fraction?

a negative number

0

1

any whole number

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the domain of

 f(x)=x+1x3f\left(x\right)=\frac{x+1}{x-3}  

 <x<3 and 3<x<-\infty<x<3\ and\ 3<x<\infty  

 <x<1 and 1<x<-\infty<x<-1\ and\ -1<x<\infty  

 3<x<3<x<\infty  

 <x<1 and 1<x<3 and 3<x<-\infty<x<-1\ and\ -1<x<3\ and\ 3<x<\infty  

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