Building Functions

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSF-BF.A.1C

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

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.HSA.APR.A.1

Given f(x) = -x + 4 and g(x) = 6x + 3, find (f - g)(x).

• -7x + 1
• 5x +1
• -5x -1
• 5x + 1

Tags

CCSS.HSA.APR.A.1

When f(x) = 4x+8 and
g(x) = x+3, find
(f⋅g)(x)

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

Tags

CCSS.HSA.APR.A.1

When f(x) = x² -9 
and g(x) = x+3 ,
find (f/g)(x). 

• x-3
• x+3
• x-12
• x-6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(L3) Given f(x) = x² - 25 and g(x) = x - 5, state the domain of the quotient (f/g)(x)

• (-∞ , ∞)
• (-∞ , 5) ∪ (5 , ∞)
• [5 , ∞)
• [5 , 5]

(L3) Given f(x) = x² - 25 and g(x) = √x, state the domain of (f - g)(x)

• (-∞ , ∞)
• (-∞ , 0]
• (-∞ , 0) ∪ (0 , ∞)
• [0, ∞)