Which of these is a true statement about chain functions? Check all that apply.

Chain functions are also known as composite functions

The old output becomes the new input

The old input becomes the new output

Chain functions are evaluated from the outside in

Review: Identify the domain of the relation shown in the table.

(-6,14), (0,32), (2,38), (4,44)

Review: Which set of ordered pairs represents a function?

{ (6,-5); (7, -3); (8, -1); (9, 1) }

{ (9,5); (10,5); (9,-5); (10,-5) }

{ (3,4); (4,-3); (7,4); (3, 8) }

{(2, -2); (5, 9); (5, -7); (1, 4) }

Review: Suppose this graph represents the function q q q . What is q ( 3 ) q\left(3\right) q ( 3 ) ?

Undefined: 3 is not in the domain

03 Composite Functions (aka Chain Functions)

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1C, HSF.IF.A.2, HSF.IF.A.3

+4

Standards-aligned

Matthew Kilgore

Used 5+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(5\right)\right]$ .

19

23

-10

None of these.

Tags

CCSS.HSF-BF.A.1C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(0\right)\right]$

16

4

-4

None of these.

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Let $f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ . Evaluate $g\left[f\left(-10\right)\right]$

-42

-26

-18

-22

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$f\left(x\right)=\frac{1}{x-1}$ and $g\left(x\right)=x^2$ . Evaluate $f\left[g\left(3\right)\right]$

1/8

8

1/4

1/2

Tags

CCSS.HSF-BF.A.1C

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $g\left[f\left(-2\right)\right]$ .

-14

20

6

7

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$j\left(x\right)=\sqrt{x+6}$ and $k\left(x\right)=9-x$ . Evaluate $j\left[k\left(11\right)\right]$ . Consider only positive roots.

9 - √17

4

2

√8

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $f\left[g\left(4\right)\right]$ .

182

40

61

None of these

Tags

CCSS.HSF-BF.A.1C

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03 Composite Functions (aka Chain Functions)

30 questions

$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(5\right)\right]$ .

$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(0\right)\right]$

Let $f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ . Evaluate $g\left[f\left(-10\right)\right]$

$f\left(x\right)=\frac{1}{x-1}$ and $g\left(x\right)=x^2$ . Evaluate $f\left[g\left(3\right)\right]$

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $g\left[f\left(-2\right)\right]$ .

$j\left(x\right)=\sqrt{x+6}$ and $k\left(x\right)=9-x$ . Evaluate $j\left[k\left(11\right)\right]$ . Consider only positive roots.

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $f\left[g\left(4\right)\right]$ .

$f\left(x\right)=x^2+3$ and $g\left(x\right)=4x-3$ . Evaluate $f\left[g\left(-1\right)\right]$

Let $f\left(x\right)=2x$ and $h\left(x\right)=2x^2$ . Evaluate $f\left[h\left(3\right)\right]$

Let $f\left(x\right)=4x$ and $h\left(x\right)=2x$ . Find $f\left[h\left(-2\right)\right]$

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03 Composite Functions (aka Chain Functions)

30 questions

f(x)=3x+10f\left(x\right)=3x+10f(x)=3x+10 and g(x)=x−2g\left(x\right)=x-2g(x)=x−2 , evaluate f[g(5)]f\left[g\left(5\right)\right]f[g(5)] .

f(x)=3x+10f\left(x\right)=3x+10f(x)=3x+10 and g(x)=x−2g\left(x\right)=x-2g(x)=x−2 , evaluate f[g(0)]f\left[g\left(0\right)\right]f[g(0)]

Let f(x)=3x+10f\left(x\right)=3x+10f(x)=3x+10 and g(x)=x−2g\left(x\right)=x-2g(x)=x−2 . Evaluate g[f(−10)]g\left[f\left(-10\right)\right]g[f(−10)]

f(x)=1x−1f\left(x\right)=\frac{1}{x-1}f(x)=x−11​ and g(x)=x2g\left(x\right)=x^2g(x)=x2 . Evaluate f[g(3)]f\left[g\left(3\right)\right]f[g(3)]

f(x)=x2+xf\left(x\right)=x^2+xf(x)=x2+x and g(x)=3x+1g\left(x\right)=3x+1g(x)=3x+1 . Evaluate g[f(−2)]g\left[f\left(-2\right)\right]g[f(−2)] .

j(x)=x+6j\left(x\right)=\sqrt{x+6}j(x)=x+6​ and k(x)=9−xk\left(x\right)=9-xk(x)=9−x . Evaluate j[k(11)]j\left[k\left(11\right)\right]j[k(11)] . Consider only positive roots.

f(x)=x2+xf\left(x\right)=x^2+xf(x)=x2+x and g(x)=3x+1g\left(x\right)=3x+1g(x)=3x+1 . Evaluate f[g(4)]f\left[g\left(4\right)\right]f[g(4)] .

f(x)=x2+3f\left(x\right)=x^2+3f(x)=x2+3 and g(x)=4x−3g\left(x\right)=4x-3g(x)=4x−3 . Evaluate f[g(−1)]f\left[g\left(-1\right)\right]f[g(−1)]

Let f(x)=2xf\left(x\right)=2xf(x)=2x and h(x)=2x2h\left(x\right)=2x^2h(x)=2x2 . Evaluate f[h(3)]f\left[h\left(3\right)\right]f[h(3)]

Let f(x)=4xf\left(x\right)=4xf(x)=4x and h(x)=2xh\left(x\right)=2xh(x)=2x . Find f[h(−2)]f\left[h\left(-2\right)\right]f[h(−2)]

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$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(5\right)\right]$ .

$f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ , evaluate $f\left[g\left(0\right)\right]$

Let $f\left(x\right)=3x+10$ and $g\left(x\right)=x-2$ . Evaluate $g\left[f\left(-10\right)\right]$

$f\left(x\right)=\frac{1}{x-1}$ and $g\left(x\right)=x^2$ . Evaluate $f\left[g\left(3\right)\right]$

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $g\left[f\left(-2\right)\right]$ .

$j\left(x\right)=\sqrt{x+6}$ and $k\left(x\right)=9-x$ . Evaluate $j\left[k\left(11\right)\right]$ . Consider only positive roots.

$f\left(x\right)=x^2+x$ and $g\left(x\right)=3x+1$ . Evaluate $f\left[g\left(4\right)\right]$ .

$f\left(x\right)=x^2+3$ and $g\left(x\right)=4x-3$ . Evaluate $f\left[g\left(-1\right)\right]$

Let $f\left(x\right)=2x$ and $h\left(x\right)=2x^2$ . Evaluate $f\left[h\left(3\right)\right]$

Let $f\left(x\right)=4x$ and $h\left(x\right)=2x$ . Find $f\left[h\left(-2\right)\right]$