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Sergeeva-Olga [200]
3 years ago
12

Helppppppppp please

Mathematics
1 answer:
swat323 years ago
7 0
B i think but im not sure
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Simplify – w + 1 – (–8w)
d1i1m1o1n [39]

Answer:

7w + 1

hope it helped. :)

7 0
2 years ago
Read 2 more answers
[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
2 years ago
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 1 or a 9 is 2/9 .
USPshnik [31]
The answer would be 7/9. If the spinner has 9 sections and you want to know the probability of NOT landing on a 1 or a 9, you would subtract 2 from 9 since there are 2 numbers and 9 total.

6 0
3 years ago
Read 2 more answers
A decorator has just painted 400 tiles blue and green at a ratio of 5:20.how many were painted green ? how many were painted blu
zheka24 [161]
Blue tiles are 80.
Green tiles are 320
8 0
3 years ago
Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total em
forsale [732]
X% of $28,600 is $33,500
x/100 * 28,600 = 33,500
x = 33,500 * 100 / 28,600
x = 117.13% = 117%

117% - 100% = 17%

The answer would be 17%.
Glad to help :)
5 0
2 years ago
Read 2 more answers
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