Question

If f(x)=2x+3÷2,find f-1(x).​

Answer 1

Answer:

Step-by-step explanation:

97

Answer 2

The required inverse function  $f^{-1}(x)$ = (2x - 3 ) / 4.

Given that,
f(x) = (2x+3) / 2

To find  $f^{-1}(x)$

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Let f(x) = y
y = (2x + 3) / 2
y * 2 = 2x + 3
2y - 3 = 2x
x = (2y - 3) / 2
Now replace y = x and x = $f^{-1}(x)$
 $f^{-1}(x)$ = (2x - 3 ) / 4

Thus,  the required inverse function  $f^{-1}(x)$ = (2x - 3 ) / 4.

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