Which function below is the inverse of f(x) = The quantity of two x plus three, over five.?

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f−1(x) = The quantity of five x plus three, over two

f−1(x) = The quantity of five x minus three, over two

f−1(x) = Five over the quantity of two x plus three

f−1(x) = Five over the quantity of three minus two x

2 Answers

  • Let y = f (x) and g (y) = x

    y = (2x + 3) / 5

    5y = 2x + 3

    x = [ 5y – 3 ] / 2

    g (y) = [ 5y – 3 ] / 2

    g (x) = [ 5x – 3 ] / 2_____inverse function

  • Let f(x) = y

    Hence

    y = (2x + 3) / 5

    5y = 2x + 3

    2x = 5y – 3

    x = (5y- 3) / 2

    ‘Swop’ the letters

    y = (5x – 3) / 2

    f^-1(x) = (5x – 3)/2

    Hence second statement is the answer!!!!

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