Question

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

Answer 1

Answer: The Inverse of the Function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2

Let us solve it step by step.
Step-by-step explanation:
f(x) = 2x + 1
Replace f(x) with y.
y = 2x + 1
Interchange x and y
x = 2y + 1
Solve for y
y = (x - 1) / 2
Replace y with f-1(x).
f-1(x) = x/2 - 1/2
Thus, the Inverse of the function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2.

Answer 2

`\sf A) \ \ h(x) = (1)/(2) x - (1)/(2)`

Step-by-step explanation:

f(x) = 2x + 1

y = 2x + 1

[ Make x the subject ]

2x + 1 = y

2x = y - 1

x = (y - 1)/2

x = y/2 - 1/2

Inverse function:

h(x) = x/2 - 1/2