h ( x ) = ( f ∘ g ) ( x ) = 1 3 x + 3 h\left(x\right)=\left(f\ \circ\ g\right)\left(x\right)=\frac{1}{3x+3} h ( x ) = ( f ∘ g ) ( x ) = 3 x + 3 1 Select the TWO functions f and g such that

g ( x ) = 3 x + 3 g\left(x\right)=3x+3 g ( x ) = 3 x + 3

f ( x ) = 1 x f\left(x\right)=\frac{1}{x} f ( x ) = x 1

f ( x ) = 3 x + 3 f\left(x\right)=3x+3 f ( x ) = 3 x + 3

g ( x ) = 1 x g\left(x\right)=\frac{1}{x} g ( x ) = x 1

Given f ( x ) = 4 x f\left(x\right)=4x\ f ( x ) = 4 x and g ( x ) = 2 x − 1 g\left(x\right)=2x-1 g ( x ) = 2 x − 1 is ( f ∘ g ) ( x ) = ( g ∘ f ) ( x ) ? \left(f\circ g\right)\left(x\right)=\left(g\circ f\right)\left(x\right)? ( f ∘ g ) ( x ) = ( g ∘ f ) ( x ) ?

No, because the order of the functions does matter

Yes, because the order of the functions does not matter

Yes, because of the order of the functions does matter

No, because of the order of the functions does not matter

f ( x ) = 5 x − 3 f\left(x\right)=5x-3 f ( x ) = 5 x − 3 g ( x ) = 4 x + 9 g\left(x\right)=4x+9 g ( x ) = 4 x + 9 ( g f ) ( x ) = \left(\frac{g}{f}\right)\left(x\right)=\ ( f g ) ( x ) = and what is the domain?

( 4 x + 9 ) 5 x − 3 \frac{\left(4x+9\right)}{5x-3} 5 x − 3 ( 4 x + 9 ) x ≠ 3 5 x\ne\frac{3}{5} x  = 5 3

( 4 x + 9 ) ( 5 x − 3 ) \frac{\left(4x+9\right)}{\left(5x-3\right)} ( 5 x − 3 ) ( 4 x + 9 ) x ≠ − 3 5 x\ne-\frac{3}{5} x  = − 5 3

( 5 x − 3 ) 4 x + 9 \frac{\left(5x-3\right)}{4x+9} 4 x + 9 ( 5 x − 3 ) x ≠ 9 4 x\ne\frac{9}{4} x  = 4 9

( 5 x − 3 ) 4 x + 9 \frac{\left(5x-3\right)}{4x+9}\ 4 x + 9 ( 5 x − 3 ) x ≠ − 9 4 x\ne-\frac{9}{4} x  = − 4 9

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Math

Functions Operations

M4 Functions Operations And Composite Functions Quiz

M4 Functions Operations and Composite Functions Quiz

Authored by Clayton Strider

Mathematics

12th Grade

CCSS covered

Used 8+ times

M4 Functions Operations and Composite Functions Quiz

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40 questions

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MULTIPLE SELECT QUESTION

1 min • 1 pt

$h\left(x\right)=\left(f\ \circ\ g\right)\left(x\right)=\frac{1}{3x+3}$
Select the TWO functions f and g such that

$f\left(x\right)=3x+3$

$g\left(x\right)=3x+3$

$g\left(x\right)=\frac{1}{x}$

$f\left(x\right)=\frac{1}{x}$

Tags

CCSS.HSF-BF.A.1C

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(3).

(a)

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $f\left(x\right)\ =x^2+3x$ and $g\left(x\right)\ =\ x-2$
Solve for the composite function
g o f

$x^2-x-2$

$x^2+3x-2$

$x^4+6x^3+12x^2+9x$

$x-4$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(g(x))= -6x²+31

f(g(x))= -6x²+24

f(g(x))=18x²-84x+6

f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When f(x) = x²- 9
and g(x) = x + 3 ,
find f(x) / g(x).

x - 3

x + 3

x - 12

x - 6

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

4x²+24

4x²+20x+24

4x²+12x+24

4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Marcy was given $f\left(x\right)=3x-5$ and
$g\left(x\right)=x^{2\ }+4$ and was asked to find $f\left(x\right)-g\left(x\right)$ .

Her steps are as follows:
Step 1: $3x-5-\left(x^2+4\right)$
Step 2: $3x\ -\ 5\ -x^{2\ }+4$
Step 3: $-x^2+3x-1$
Which of the following are true?

Marcy's steps are all correct.

Marcy made a mistake on step 1.

Marcy made a mistake on step 2.

Marcy made a mistake on step 3.

Tags

CCSS.HSF-BF.A.1B

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M4 Functions Operations and Composite Functions Quiz

$h\left(x\right)=\left(f\ \circ\ g\right)\left(x\right)=\frac{1}{3x+3}$
Select the TWO functions f and g such that

Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(3).

(a)

If $f\left(x\right)\ =x^2+3x$ and $g\left(x\right)\ =\ x-2$
Solve for the composite function
g o f

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

When f(x) = x²- 9
and g(x) = x + 3 ,
find f(x) / g(x).

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

Marcy was given $f\left(x\right)=3x-5$ and
$g\left(x\right)=x^{2\ }+4$ and was asked to find $f\left(x\right)-g\left(x\right)$ .

Her steps are as follows:
Step 1: $3x-5-\left(x^2+4\right)$
Step 2: $3x\ -\ 5\ -x^{2\ }+4$
Step 3: $-x^2+3x-1$
Which of the following are true?

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(x) = 4x + 8
g(x) = x + 3,
Find f(x) ⋅ g(x)

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

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M4 Functions Operations and Composite Functions Quiz

h(x)=(f ∘ g)(x)=13x+3h\left(x\right)=\left(f\ \circ\ g\right)\left(x\right)=\frac{1}{3x+3}h(x)=(f ∘ g)(x)=3x+31​ Select the TWO functions f and g such that

Given f(x)= x2 + 25 and g(x)= x - 5, find (f+g)(3). (a)

If f(x) =x2+3xf\left(x\right)\ =x^2+3xf(x) =x2+3x and g(x) = x−2g\left(x\right)\ =\ x-2g(x) = x−2 Solve for the composite functiong o f

Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).

When f(x) = x2 - 9 and g(x) = x + 3 , find f(x) / g(x).

f(x) = 4x+8 g(x) = x+3, Find f(x) * g(x)

Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).

f(x) = 4x + 8 g(x) = x + 3, Find f(x) ⋅ g(x)

f(x) = x2+9 g(x) = x-9Find f(x)-g(x).

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$h\left(x\right)=\left(f\ \circ\ g\right)\left(x\right)=\frac{1}{3x+3}$
Select the TWO functions f and g such that

Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(3).

(a)

If $f\left(x\right)\ =x^2+3x$ and $g\left(x\right)\ =\ x-2$
Solve for the composite function
g o f

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

When f(x) = x²- 9
and g(x) = x + 3 ,
find f(x) / g(x).

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(x) = 4x + 8
g(x) = x + 3,
Find f(x) ⋅ g(x)

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).