What is the inverse of (x^2 4)

Mathematics

1 answer:

bazaltina [42]1 year ago

5 0

The inverse function of the given function y = x² + 4 will be y = √(x - 4).

<h3>What is the inverse function?</h3>

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

y = x² + 4

The inverse function of the function y = x² + 4 is given as,

Replace x with y and y with x, then we have

x = y² + 4

Solve the equation for y, then the equation is rewritten as,

x = y² + 4

y² = x - 4

y = √(x - 4)

The inverse function of the given function y = x² + 4 will be y = √(x - 4).

More about the inverse function is given below.

brainly.com/question/2541698

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Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.