What is the inverse of the function f(x) = 2x + 1?

f(x) = 2x + 1

Replace f(x) with y

y = 2x + 1

Switch x with y and y with x.

x = 2y + 1

Now solve for y. Subtract 1 from both sides.

x - 1 = 2y

Divide both sides by 2

(x - 1) / 2 = y

Replace y with f^-1(x)

f^-1(x) = (x - 1) / 2 is the inverse

Step-by-step explanation:

y = 2x + 1

x = 2y + 1

2y + 1 = x

2y = x - 1

y = x/2 - 1/2

f^-1(x) = x/2 - 1/2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the answer is:

mean: 6

mad: 2.14