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

•  $f\left(x\right)=3x+3$  

•  $g\left(x\right)=3x+3$  

•  $g\left(x\right)=\frac{1}{x}$  

•  $f\left(x\right)=\frac{1}{x}$  

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

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

When f(x) = x² - 9

and g(x) = x + 3 ,

find f(x) / g(x).

• x - 3

• x + 3

• x - 12

• x - 6

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

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

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.

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

f(x) = 4x + 8

g(x) = x + 3,

Find f(x) ⋅ g(x)

• 4x² + 24

• 4x² + 20x + 24

• 4x² + 12x + 24

• 4x² + 4x + 24

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

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18