Find the inverse of h(x) = \frac{2x+6}{5} show work please!

Question

Find the inverse of h(x) = \frac{2x+6}{5}

show work please!

in progress 0
Gianna 2 weeks 2021-09-12T04:07:20+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T04:09:03+00:00

    Answer:

    The inverse of h(x) is \frac{5x-6}{2}

    Step-by-step explanation:

    * Lets explain how to make the inverse of a function

    – To find the inverse of a function we switch x and y and then solve

      for new y

    – You can make it with these steps

    # write g(x) = y

    # switch x and y

    # solve for y

    # write y as g^{-1}(x)

    * Lets solve the problem

    h(x)=\frac{2x+6}{5}

    # Step 1

    y=\frac{2x+6}{5}

    # Step 2

    x=\frac{2y+6}{5}

    # Step 3

    x=\frac{2y+6}{5}

    – Multiply each side by 5

    ∴ 5x = 2y + 6

    – Subtract 6 from both sides

    ∴ 5x – 6 = 2y

    – Divide both sides by 2

    y=\frac{5x-6}{2}

    # Step 4

    h^{-1}(x)=\frac{5x-6}{2}

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )