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Solve for y if (2+y)/y = sqrt(2) and leave your answer in simplified surd form. 4. If g(x) = (4−x²)/x⁴, find the values of b if g(b) + g(1/2) = 60.

Mathematics

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Answer

y=±xy = \pm \sqrt{x}

1
Graph of g(x) = (4 − x²)/x⁴

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Key points of g(x) = (4 − x²)/x⁴
Pointxy
x-intercept−20
x-intercept20

Step-by-step solution

5 steps

B.

  1. Start with the given equation.

    y2=xy^2 = x

  2. Take the square root of both sides to solve for yy.

    y=±xy = \pm \sqrt{x}

    Simplified answer: y=±xy = \pm \sqrt{x}

    y = \pm \sqrt{x}

    4.

  3. Given function.

    g(x)=x2g(x) = x^2

  4. Substitute x=−1x = -1.

    g(−1)=(−1)2g(-1) = (-1)^2

  5. Simplify the expression.

    g(−1)=1g(-1) = 1

    1

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