1.7 Combinations of Functions; Comp Functions

​1.7 Combinations of Functions; Composite Functions

Multiple Choice

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x). #4

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Multiple Choice

If f(x) = -4x - 5 and g(x) = 3 - x, what is g(-4) + f(1)? #13

• 7
• -2
• -9
• -10

Multiple Choice

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x). #1

• x² + 8x + 1
• x² + 6x - 1
• 5x² + 8x - 1
• x² + 8x -1

Multiple Choice

$$f\left(x\right)=x^2+1;\ \ \ \ \ \ g\left(x\right)=x-4$$   $$Solve\ \left(f-g\right)\left(-1\right)$$  #34

• -1

• 3

• -4

• 5

Multiple Choice

f(x) = x + 5 and g(x) = x² - 2x + 3 Find f(x) * g(x) #2

• x³ + 3x² - 7x + 15
• x³ - 2x² + 15
• x³ + 3x² - 10x + 15
• x³ - 3x + 15

Multiple Choice

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x)? #5

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Multiple Choice

#3

• 9 - √5
• √14
• 16
• 4

Multiple Choice

Find the domain of the rational function

f(x) = x / (x²-25). #7

• ( $$-\infty$$  , -5) U (5, $$\infty$$  )

• ( $$-\infty$$  , -5) U (-5, 5) U (5, $$\infty$$  )

• ( $$-\infty$$  , 5) U (5, $$\infty$$  )

• ( $$-\infty$$  , 25) U (25, $$\infty$$  )

Multiple Select

Find (f+g)(x) and its domain. $$f\left(x\right)=\sqrt{x+3}\ and\ g\left(x\right)=\sqrt{x-2}$$  #37

• $$\sqrt{2x+1};\ D:\left[3,\infty\right)$$  

• $$\sqrt{x+3}+\sqrt{x-2};\ D:\left[3,\infty\right)$$  

• $$\sqrt{2x+1};\ D:\left[2,\infty\right)$$  

• $$\sqrt{x+3}+\sqrt{x-2};\ D:\left[2,\infty\right)$$  

Multiple Choice

What is f(g(3))? #21

• 1/8

• 8

• 1/4

• 1/2

Multiple Choice

h(x)=x²-3x-10, j(x)=3x-2

What is (h/j)(-2)? #35

• -2
• undefined
• 0
• 1

Multiple Select

Find (f/g)(x) $$f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$$  #36

• $$\frac{x+1}{x^2-1}$$  

• $$\frac{x+1}{x-1}$$  

• $$\frac{1}{x-1}$$  

• $$\frac{1}{x+1}$$