find the inverse of the given function

Question

f(x)=7x-4/5

 

f^-1

    (x)= ?

Answer 1

To find the inverse of a function, switch the places where x and y appear, and then solve the new equation for y.

 

• Original Equation:
• f(x)=7x-4/5 OR y=7x-4/5
• Step 1: Switch x and y
• x=7y-4/5
• Step 2: Solve for y
• x+4/5=7y
• x/7+4/35=y

Answer: f^-1(x) = x/7 + 4/35

 

 

Answer 2

f( X) = 7X - 4/5

 

Y = 7X - 4/5

 

X = (Y + 4/5) /7 

 

f^-1 (X) = X/7 + 4/35