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

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x-3

Tags

CCSS.HSF.IF.A.2

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1.b

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1.b

Find f(x) - g(x)

• 2x² + 8x - 8

• 3x² + 8x - 8

• 2x² + 8x + 8

• 2x² + 4x - 8

Tags

CCSS.HSF-BF.A.1B

Find f(x) - g(x)

• x² - 7x + 2

• -x² + 7x + 2

• -x² - 7x + 2

• -x² - 7x + 4

Tags

CCSS.HSF-BF.A.1B

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.1C