Question

If f (x)=2x-3 find the value of f-1 (0)

Answer 1

The value of x that makes the function equal to 0 is 1.5, so f-1(0) = 1.5.

Step-by-step explanation:

To determine f^{-1}(0) for the function f(x) = 2x - 3, solve the equation 2x - 3 = 0 for x, yielding the solution x = 1.5. Thus, f^{-1}(0) = 1.5.

To find the value of f-1(0), we need to determine the value of x for which the original function f(x) = 2x - 3 yields the output 0. First, we will set the function equal to 0:

2x - 3 = 0

Then, we will solve for x as follows:

Add 3 to both sides of the equation: 2x = 3

Divide both sides by 2 to isolate x: x = 3/2

Answer 2

to find the inverse of a function

interchange x and y and solve for y

y = 2x-3

x = 2y-3

add 3 to each side

x+3 = 2y

divide by 2

(x+3)/2 =y

f^-1 (x) =(x+3)/2

f^-1 (0) =(0+3)/2

f^-1 (0) =(3)/2