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The domain of a one-to-one function fis [7,00) and its range IS ~2,m) State the domain and the range of f"What is the domain off- 1?The domain of fh (Type your...

Question

The domain of a one-to-one function fis [7,00) and its range IS ~2,m) State the domain and the range of f"What is the domain off- 1?The domain of fh (Type your answer in interval notation

The domain of a one-to-one function fis [7,00) and its range IS ~2,m) State the domain and the range of f" What is the domain off- 1? The domain of fh (Type your answer in interval notation



Answers

What is the domain of the function $f(x)=\frac{1}{x} ?$ What is its range?

And problem to, we need to fill in the blanks. In the statement, the statement is talking about domain and range for functions in their inverse functions. In this case, we have the function f and its inverse of superscript negative one. An inverse function will switch input and output of the original function. For example, if the function F produces ordered pairs such as one to 34 and 56 it's inverse will switch the input and output to create the ordered pairs to one, 43 and 65 If you notice the input and output, simply change places. In other words, why becomes X and X becomes why? Because domain is all X values and ranges all y values we can think of the domain and range switching. So in this case, the domain of F 13 and five in the example becomes the range of the inverse function f superscript negative one so that first blank should be filled with the word range. Similarly, the domain of the inverse function in our example 24 and six becomes the range in the original function. So for that second blank, the domain of the inverse function is equivalent to the range of the original function

In the given question you are provided with domain of a function. Okay. Domain of the function. Domain of a function And its domain is- in 22-0. Okay. You clearly know that domain means your ex life in the developed minus infinity to zero. Now you have to calculate the domain. Oh more or less effects. Okay. So it is cleared by the basic property. There's that while you do more or less, Okay, while you do more than that, then you're away changes into was it too? Okay. There is no effect. There is no effect on X. So due to the reason I can say clearly that domain should remain as it is. So the domain of more or less effects should women as it is? That is minus infinity to zero. Okay, so the answer is same as it is. It is many things we need to

From the function F of X equals one over X squared When thinking about the domain and range domain or your inputs on X. Since we're dividing and you can't divide by zero, you can put in anything for X except for zero, so we do not include it. This is the way we would say All reels except skip over zero. The outputs that when you square something is always positive. So this would be the outputs would not improve zero, but then anything to infinity positive. We can confirm this graphically as well. one over x squared. The domain goes forever, the left forever the right, except it jumps over zero. The range does not include zero on the wise, but it goes up to infinity.

So we're given this graph of a function here, and we want to find the domain and range of the function which we'll call S So domain, As you can see, it kind of starts at zero. This neighborhood's on pain, It starts at zero and then terminates at four. In this case we can say that inclusively Domain suppose from 0 to 4. And then the range based on what we can see here, the lowest value of the lowest Y value we have here is zero, And the highest y value we have here is four. So again, the ranges from 0 to 4 inclusive, because, well, it's a solid line and there's no open circles there, so nothing to indicate that the end points of this function are not included. So we use closed brackets here. So domain of the function F here is from Goes back at 0-4, 0 to 4. And the range likewise is also Close Bracket 0- four.


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