Composition of Functions

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

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

Tags

CCSS.HSF-BF.A.1B

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182
• 40
• 61
• None of the Above

Tags

CCSS.HSF-BF.A.1C

Determine which two functions are composed so that f(g(x)) = h(x), where h(x) = (x-3)² - 5.

• f(x) = x - 3; g(x) = x² - 5
• f(x) = (x - 3)²; g(x) = x - 5
• f(x) = x - 7; g(x) = (x - 3)²+2
• f(x) = x²; g(x) = (x - 3) - 5

Tags

CCSS.HSF-BF.A.1C

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

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)

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ∘g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4
• 13/4
• 17/2
• None of the Above

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for (f/g)(x)?

• no restrictions
• x ≠ -4
• x ≠ 4
• x ≠ 0

Tags

CCSS.HSF-BF.A.1B