^{-1}

- 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

^{-1}(x) = x/7 + 4/35

f(x)=7x-4/5

f^{-1}

(x)= ?

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Karn D. | Dedicated Science, Math, and Economics TutorDedicated Science, Math, and Economics T...

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

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

f( X) = 7X - 4/5

Y = 7X - 4/5

X = (Y + 4/5) /7

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

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