Algebra Module

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(f+g)(x)=

• x² + 9x + 11

• x² + 9x - 11

• 3x² + 7x - 66

• none of the above

Tags

CCSS.HSF-BF.A.1B

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(h-g)(x)=

• -x² + 7x + 2

• -x² - 5x +2

• x² + 5x - 2

• none of the above

Tags

CCSS.HSF-BF.A.1B

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(fh)(x)=

• 4x - 9

• 3x² - 22

• 3x² - 5x - 22

• none of the above

Tags

CCSS.HSF-BF.A.1C

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(g/f)(x)=

• x² - 9

• x² + 6x / 3x - 11

• 3x - 11 / x² + 6x

• none of the above

Tags

CCSS.HSF-BF.A.1B

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(g-f)(x)=

• x² - 3x +11

• x² - 3x - 11

• x² + 3x - 11

• none of the above

Tags

CCSS.HSF-BF.A.1B

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(f°h)(x)=

• 3x - 9

• 3x - 5

• 3x² - 5x - 22

• none of the above

Tags

CCSS.HSF-BF.A.1C

Find the rule for the inverse of each function.

f(x)=x+14

• f⁻¹(x) = x / 14

• f⁻¹(x) = x - 14

• f⁻¹(x) = x + 14

• f⁻¹(x) = 14x

Tags

CCSS.HSF-BF.B.4A

Find the rule for the inverse of each function.

f(x) = −3x + 5

• f^-1 (x)= (x-3) / 5

• f^-1 (x)= (x+5) / -3

• f^-1 (x)= -(x-5) / 3

• f^-1 (x)= -(x-3) / 5

Tags

CCSS.HSF-BF.B.4A

Determine whether g(x) and h(x) are inverse functions.

g(x) = 2x + 1

h(x) = ½x - 1

• yes

• no

Tags

CCSS.HSF-BF.B.4B

Calculate the account balance using the compound interest formula. Round to the nearest cent.

$2,600 compounded annually at 4% APR for 5 years

• $3163.30

• $2137.42

• $1137.40

• $2135.33