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Damm [24]
3 years ago
7

Eamon used a number line to compare two numbers,0.48 and 3/5.One number was less than 1/2 and the other number was greater than

1/2.Which number was less than 1/2. Please help
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0
It's easy, just convert all the number to the same decimal or number. Start off by converting all the numbers to decimals. 1/2 would be .50. 3/5 would be .60. By knowing this you can easily order the numbers from least to greatest. .48, .50, and .60. The answer would be  .48
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[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
3 years ago
HELP ME PLEASEE real quick just answer
nordsb [41]
B 1/2 because there is a 6/12 chance simpllify that and it's 1/2
6 0
3 years ago
Plz help me with this problem it’s not that hard at all !!
Brums [2.3K]

Answer:

43x-19y+74

hope this helps!!:)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for x. <br><br> x = ___
Mila [183]

Answer:

Solve y=x^2+2 for x.A.B.C.D

Step-by-step explanation:

sorry lamo

5 0
3 years ago
Help asap please, dhebduhd
Kamila [148]
Hi there !

The answer is B. angle 4.

An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.

Hope this helps !
6 0
3 years ago
Read 2 more answers
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