The piecewise function h(x) is shown on the graph. What is the value of X when H(x)=-3?
-7
-1
0
2

  -1

Step-by-step explanation:

To find x for H(x) = -3, draw a horizontal line at y=-3. Where it intersects the graph, locate the x-coordinate of that point.

You will find H(-1) = -3, so the value of x is -1.

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The graph has an open circle at (2, -3). This means H(2) is undefined. It is not -3.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1