Question

What is the inverse of F(x) =5x/3+ 5

Answer 1

The inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

How to determine the inverse?

The function is given as:

f(x) = 5x/3 + 5

Rewrite as:

y = 5x/3 + 5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

x - 5 = 5y/3

Multiply through by 3

3x - 15 = 5y

Divide through by 5

y = 3x/5 - 3

Express as inverse function

f-1(x) = 3x/5 - 3

Hence, the inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ1