Question

inverse functions?





what is the inverse function of 2x-5/3

Answer 1

sorry its f(X)= 2x-5/3

Answer 2

Do you mean \( f(x) = \dfrac{2x - 5}{3} \) ?

Answer 3

yes

Answer 4

This is how you find the inverse of a function:
1. Replace f(x) with y.
2. Switch x and y.
3. Solve for y.
4. Replace y with \(f^{-1} (x) \).

Answer 5

I'll show you an example with a different, but similar, function.

Example: Find the inverse function of \(f(x) = \dfrac{4x - 3}{2} \).

Answer 6

Solution:

1. \(y = \dfrac{4x - 3}{2} \)

2. \(x = \dfrac{4y - 3}{2} \)

3. \(x = \dfrac{4y - 3}{2} \)

Multiply both sides by 2:

\(2x = 4y - 3 \)

Add 3 to both sides:

\(2x + 3 = 4y\)

Divide both sides by 4:

\(\dfrac{2x + 3}{4} = y\)

\(y = \dfrac{2x + 3}{4}\)

4. \(f^{-1}(x) = \dfrac{2x + 3}{4}\)

Answer 7

f\[f ^{-1}(x)=\frac{ 3x+5 }{ 2 }\]

Answer 8

@mathstudent55 is that right?^

Answer 9

Correct.