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3 years ago

Find the inverse of g(x) = 3x^2 - 5

Mathematics

1 answer:

Lorico [155]3 years ago

4 0

Answer:

√

Explanation:

To find the inverse of a function expressed as

XXX

an expression in

rearrange the expression into the form:

XXX

an expression in

Given

XXX

−

Switch sides and add

to both sides

XXX

Divide both sides by

XXX

Take the square root of both sides

XXX

√

Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).

Therefore

XXX

instead of Y do G

Step-by-step explanation:

You might be interested in

Explain how you could find the measurements of an enlargement if you know the ratio of the measurements of the original to the m

lord [1]

Answer:

showing bellow

Step-by-step explanation:

Let me use an exsample to show this.

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?

6 inches by 10 inches

Step-by-step explanation:

It tells us that the scale is 2 In: 1 cm so we know that for every centimeter long or wide the stamp is the enlardged scale is two inches.

2 times 3 is 6. 6 inches. we are multiplying two inches by the number of centimeter long it is.

5 times 2 is 10 inches. we are multiplying two inches by the number of centimeter wide it is.

therefore the enlarged stamp is 6 In by 10 In.

Hope this helps :)

4 0

3 years ago

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

jenyasd209 [6]

Answer:

$x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}$

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

$-2\pm\sqrt{\dfrac{11}{2}}$

where the 2 in the denominator of the radical is the leading coefficient.

You can also use other clues:

the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

You may be expected to use the quadratic formula:

$x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}$

7 0

3 years ago

In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.

coldgirl [10]

<h3>Given:-</h3>

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

<h2>Solution:-</h2>

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = $\frac{8}{4}$

d = 2

<h3>Value of d is 2. [Answer]</h3>

6 0

3 years ago

PLEASE HELPPPPPLPL.pleaseee

Alborosie

Answer:

study :)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

PLEASE NEED HELP RIGHT NOW

erica [24]

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation:

3 0

3 years ago