All categories

2 years ago

How do you find out if the inverse of a piece wise function is a function?

Mathematics

1 answer:

cricket20 [7]2 years ago

8 0

Answer:

If it is not one-to-one, it does not have an inverse.

Step-by-step explanation:

If the output has more than 1 input, it cannot possibly be a function, meaning there is no inverse for that function.

You might be interested in

What is the volume of the cube if the side length is 40cm

swat32

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

7 0

2 years ago

If g (x) = 1/x^2 then g (x+h) - g (x)/h

nignag [31]

$\bf g(x)=\cfrac{1}{x^2}~\hspace{5em}\cfrac{g(x+h)-g(x)}{h}\implies \cfrac{\frac{1}{(x+h)^2}-\frac{1}{x^2}}{h} \\\\\\ \textit{using the LCD of }(x+h)^2(x^2)\qquad \cfrac{\frac{x^2-(x+h)^2}{(x+h)^2(x^2)}}{h}\implies \cfrac{x^2-(x+h)^2}{h(x+h)^2(x^2)} \\\\\\ \cfrac{x^2-(x^2+2xh+h^2)}{h(x+h)^2(x^2)}\implies \cfrac{\underline{x^2-x^2}-2xh-h^2}{h(x+h)^2(x^2)}\implies \cfrac{-2xh-h^2}{h(x+h)^2(x^2)}$

$\bf \cfrac{\underline{h}(-2x-h)}{\underline{h}(x+h)^2(x^2)}\implies \cfrac{-2x-h}{(x+h)^2(x^2)}\implies \cfrac{-2x-h}{(x^2+2xh+h^2)(x^2)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{-2x-h}{x^4+2x^3h+x^2h^2}~\hfill$

4 0

3 years ago

Can someone help me please?

Mars2501 [29]

Answer:

Answer below

Step-by-step explanation:

Point D: (-6,-1)

Point C: (-3,0)

Point B: (-3,6)

Point A: (0,0)

8 0

2 years ago

Write a trinomial EXPRESSION that is equivalent to 2x(3x-2)+5(3x-2)

Alexandra [31]

Just multiply out the given expression, combine like terms and arrange them in descending order by powers of x.

<span>2x(3x-2)+5(3x-2) => 6x^2 - 4x + 15x - 10

Combining like terms results in 6x^2 + 11x - 10 (answer)</span>

5 0

3 years ago

coaster has height of 283 meters, modeled by Tower the figuresThe with Tower P to Tower Qwhich has an of elevation of 30 degrees

bekas [8.4K]

Answer:

8,490

Step-by-step explanation:

4 0

2 years ago