Composite and Inverse Functions and Analyzing Graphs

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

g(n)=4n-4
f(n)=n³+4
Find (g+f)(n)

• -2n²-n+9
• -n³-4n
• -3n³-3n-5
• n³+4n

Tags

CCSS.HSF-BF.A.1B

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSF-BF.A.1B

f(x)=x³-3x
g(x)=-4x+1
Find f(x)*g(x)

• -4x³-5x²-3
• -4x³+2x²-3x
• -4x⁴+x³+12x²-3x
• -4x^4-x³+12x²⁺3x

Tags

CCSS.HSA.APR.A.1

g(x) = -3x+7
h(x) = -x-10
Find g(x)/h(x) and the domain restriction

• -3x+7/-x-10 domain restriction x≠7/3
• -3x+7/-x-10 domain restriction x≠ -7/3
• -3x+7/-x-10 domain restriction x≠10
• -3x+7/-x-10 domain restriction x≠ -10

Tags

CCSS.HSF-BF.A.1B

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Tags

CCSS.HSF-BF.B.4C

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

What is the equation that the inverse will reflect across?

• y = x
• y = 0
• x = 0
• Potato

Tags

CCSS.HSF-BF.B.4B

Identify where the function is positive.

• $x<-5\ \ ,\ \ \ x>0$

• $-5<x<0\ \ ,\ \ \ x>6$

• $x<-5\ \ ,\ 0<x<6$

• $x>-5\ \ ,\ \ \ x<6$