Question

Which graph represents y = StartRoot x EndRootWhat is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Over c (c minus 3) EndFraction?

Answer 1

The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

What is the graph of the parent function (y)?

The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a  function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.

From the given information,

• The domain for the $\mathbf{y=\sqrt{x}}$ is at x ≥ 0,
• The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.

In the second question:

$\mathbf{\dfrac{1}{c-3}-\dfrac{1}{c}= \dfrac{3}{c(c-3)}}$

Multiply by LCM

• c - (c - 3) = 3

Solve c - (c - 3) = 3: True for all c

c ≠ 0, c ≠ 3

Therefore, we can conclude that since the equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

Learn more about the graph of a function here:

brainly.com/question/3939432

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