Question

1. Find the inverse of the function. f(x)=2x+1/2

a. f^-1=2x+1/2
b. f^-1=1/2x+1/4
c. f^-1=x-1/2
d. f^-1=1/2x-1/4

2. Find the value of: 8/11{3/8+4/8}6 2/7+12 divide 4
a. 9
b. 7
c. 12 68/77
d. 5

Answer 1

1. d. f^-1=1/2x-1/4

Explanation:

1. The inverse of a function is the reflection across the line y=x. The inverse is found algebraically by switching y and x in the equation and solving for y.

f(x) = 2x + 1/2

x = 2y + 1/2

x - 1/2 = 2y

(x - 1/2)/2 = y

1/2x -1/4 = y