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
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.

ScanSolve AI Answer

B.

Step 1: Start with the given equation.

y2=xy^2 = x

Step 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.

Step 1: Given function.

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

Step 2: Substitute x=1x = -1.

g(1)=(1)2g(-1) = (-1)^2

Step 3: Simplify the expression.

g(1)=1g(-1) = 1

1

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