Finding the Domain of a Function, Algebraically
Read this topicExplanations 4
- The domain of a function is just all the numbers which it makes sense to plug into the function. There are a few things which we can't do: Dividing by 000 Taking a square root o…
By Vatsal Ojha
- When you are trying to find the domain of a function algebraically, it may be helpful to find all the values that CANNOT be in the domain −-− these are the values that would "br…
By Caroline K, Jonathan Heller, Victor Wang
- (Video) Finding the Domain of a Function Algebraically by patrickJMT This video by patrickJMT shows you how to find the domain of a function algebraically, without a graph. Summ…
By Anusha Rahman
- Finding Function Domain Algebraically Now that we've learned how to find the range of a function algebraically, we can move on to the next lesson. To find the domain of a functi…
By Anusha Rahman
Problems 23
- Which of the following are in the domain of the function f(x)=1/xf(x) = 1/xf(x)=1/x?
- f=x2−2x2−1f = \frac{x^2 - 2}{x^2 - 1}f=x2−1x2−2 Which of these values are in the domain of fff?
- Let f(x)=x+3f(x) = \sqrt{x}+3f(x)=x+3 for all x≥0x \ge 0x≥0. What is the domain of f−1f^{-1}f−1 (where f−1f^{-1}f−1 is the function which satisfies f(f−1(x))=xf(f^{-1}(x)) = xf…
- What are the domain and range of the function graphed above?
- Find the domain of f(x)=x+4x−4f(x)=\dfrac{\sqrt{x+4}}{x-4}f(x)=x−4x+4.
- Let fff be a function. If xxx is not in the domain of fff, then f(x)f(x)f(x) is...
- What values are not on the domain of y=−xy=-\sqrt{x}y=−x?
- What value is not on the domain of y=x−2x2+3x−10y=\dfrac{x-2}{x^2+3x-10}y=x2+3x−10x−2?
- What values are not in the domain of y=x+4x−5y=\sqrt{\dfrac{x+4}{x-5}}y=x−5x+4?
- What is the domain of the function f(x)=xx?f(x) = x\sqrt{x}?f(x)=xx?
- What is the domain of −x−3x\sqrt{-\frac{x-3}{x}}−xx−3?
- What is the domain of f(x)=1−2+xf(x) = \sqrt{1-\sqrt{2+x}}f(x)=1−2+x?
- Find the domain of f(x)=x1+1xf(x) = \frac{\sqrt{x}}{\sqrt{1+\frac{1}{x}}}f(x)=1+x1x
- Which of the following are in the domain of f(x)=xxf(x) = \sqrt{\frac{\sqrt{x}}{x}}f(x)=xx?
- Suppose you have a function f(x)f(x)f(x) which has a domain [0,1][0,1][0,1]. Which of the following definitions for g(x)g(x)g(x) makes g(x)g(x)g(x) have a domain of [0,2][0,2][0…
- Which of the following functions have 000 in their domain?
- Which of the following is not in the domain of f(x)=11−1−xx+1f(x) = \frac{1}{1-\frac{1-x}{\sqrt{x+1}}}f(x)=1−x+11−x1?
- What is the domain of f(x)=1x−2f(x) = \frac{1}{\sqrt{x-2}}f(x)=x−21?
- Which of the following values are in the domain of f(x)=11−ln(x+e)f(x) = \frac{1}{1 - \ln(x+e)}f(x)=1−ln(x+e)1?
- What is the domain of f(x)=ln(2x+1−2)+3f(x) = \ln\left(\sqrt{\frac{2}{x+1} - 2}\right) + 3f(x)=ln(x+12−2)+3?
- What is the domain of f(x)=ln(x)f(x) = \sqrt{\ln(x)}f(x)=ln(x)?
- Which of the following values are in the domain of f(x)=1ln(x)f(x) = \frac{1}{\ln(x)}f(x)=ln(x)1?
- Which of the following values are in the domain of f(x)=ln(x)x−2f(x) = \sqrt{\frac{\ln(x)}{x-2}}f(x)=x−2ln(x)?