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)=

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(h-g)(x)=

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(fh)(x)=

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(g/f)(x)=

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(g-f)(x)=

Use the functions

f(x)=3x−11, g(x)=x²+6x, and h(x)=x+2.

Write the function rule.

(f°h)(x)=

Find the rule for the inverse of each function.

f(x)=x+14

Find the rule for the inverse of each function.

f(x) = −3x + 5

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

g(x) = 2x + 1

h(x) = ½x - 1

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

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