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3 years ago

Find the inverse of the equation y=x2+3

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

y =x^2 +3

to find the inverse interchange the x and y and solve for y

x = y^2 +3

subtract 3 from each side

x-3 = y^2

take the sqrt of each side

+-sqrt(x-3) =y

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Answer:

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Step-by-step explanation:

The quadratic formula is:

$\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}$ , with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

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$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}$

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}$

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So B has two solutions of 5 and -1.5.

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So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

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Step-by-step explanation:

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