Question

Which function is the verse of f(x)=2x+3?

Answer 1

Answer:

Option B is correct

Step-by-step explanation:

A function has form of f(x) = 2x + 3, or y = 2x + 3

To find the inverse of f(x), we are going to represent x in form of y.

To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.

Now, let's do it.

y = 2x + 3

We firstly send 3 to the right, change the sign of 3 from + to -, we have:

y - 3 = 2x

We then rearrange both sides to get a standard form:

2x = y - 3

We now divide both sides by 2 to get the expression of x:

(2/2)x = (y - 3)/2

We simplify both sides of expression to obtain final result:

x = (1/2)y - 3/2

=> Inverse of f(x) is x = (1/2)y - 3/2

=> Option B is correct