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ivann1987 [24]
3 years ago
9

4/25 x 10 in simplest form

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0

Answer:

1 3/5

Step-by-step explanation:

10 = 10/1

4*10=40

25*1=25

40/25

now simplify:

40/5=8

25/5=5

8/5 = 1 6/10 = 1 3/5

hope this helps

Nata [24]3 years ago
5 0

Answer:

8/5

Step-by-step explanation:

4/25 x 10 = 4/25 x 10/1

10 and 25 are divisible by 5, so:

25/5 = 5 and 10/5 = 2

4/5 x 2/1 = 8/5

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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".

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In your case, you have

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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

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