Composition of Functions

Given f(x) = x+3, find f(-2).

• -1

• 1

• 5

• -5

Tags

CCSS.HSF.IF.A.2

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20
• f(-1) = -24

Tags

CCSS.HSF.IF.A.2

• -19
• -21
• 17
• -1

Tags

CCSS.HSF-BF.A.1C

• 6x² - 1
• 6x - 3
• 5x - 1
• 6x² - 3x

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF-BF.A.1C

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

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

• g(f(x))= -6x²+31
• g(f(x))= -6x²+24
• g(f(x))=18x²-84x+90
• g(f(x))=9x²-42x-41

Tags

CCSS.HSF-BF.A.1C

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

• g(f(x))= -6x² + 31
• g(f(x))= -6x² + 24
• g(f(x))=18x² - 84x + 90
• g(f(x))=9x² - 42x - 41

Tags

CCSS.HSF-BF.A.1C

When is this function increasing?

• {x| -2.5 < x < 2.5}
• {x| 0 < x < 5}
• {x| 0 < x < 55}
• {x| -5 < x < 0}

Where is the decreasing?

• ( −∞, −2.55) , (0, 2.55)
• (∞, −6.25) , (36, −6.25)
• (−∞, ∞)
• (−∞, 0)