Domain of Inverse Function
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Problems 20
- What is the inverse of the function f(x)=1x2f(x)=\frac{1}{x^{2}}f(x)=x21, and what is its domain?
- What is the domain of the inverse if the domain of f(x)=sin(x)f(x)=\sin{(x)}f(x)=sin(x) is [−π2,π2][-\frac{\pi}{2},{\frac{\pi}{2}}][−2π,2π] and the range is [−1,1][-1,{1}][−1…
- What is the domain and range of the inverse if the domain of f(x)=cos(x)f(x)=\cos{(x)}f(x)=cos(x) is [0,π][0,{\pi}][0,π] and the range is [−1,1][-1,{1}][−1,1]?
- What is the range of the inverse if the domain of f(x)=tan(x)f(x)=\tan{(x)}f(x)=tan(x) is (−π2,π2)(-\frac{\pi}{2},\frac{\pi}{2})(−2π,2π) and the range is (−∞,∞)(-\infty,\inft…
- Find the inverse of the following function and then find the inverse's domain. f(x)=(x2−1)+1f(x)= \sqrt{(x^2-1)}+1f(x)=(x2−1)+1
- Given the function graphed above, what is the domain of the inverse of that function?
- Find the domain of the inverse for the following function. f(x)=5−x212f(x)=\frac{5-x^2}{12}f(x)=125−x2
- The table below are the inputs and outputs for f(x)f(x)f(x). What is the domain for the inverse of that function? x0123456789f(x)689473683179714\begin{array}{|l|l|} \hline x&0&1…
- What is the domain of the inverse of the following function? f(x)=1xf(x)=\frac{1}{x}f(x)=x1
- The function f(x)=logxf(x)=\log{x}f(x)=logx is graphed above in blue. Its inverse f−1(x)=10xf^{-1}(x)=10^xf−1(x)=10x is in red. What is the domain of the inverse?
- One of the functions above is the inverse of the other. The purple function is y=2(x+2.5)y=2(x+2.5)y=2(x+2.5). What is the equation of the green function and what is the domain?
- The following graphs are functions. The inverse of each of the functions are written next to the graph. Which of the following domains of those inverses are not (−∞,∞)(-\infty, …
- True or False\text{True or False}True or False === The domain of an inverse is the same as the domain of the original function.
- True or False\text{True or False}True or False === A function has an inverse only if it is one-to-one.
- What is the domain and range of the inverse for the following function? f(x)=x−1x−20f(x)=\frac{x-1}{x-20}f(x)=x−20x−1
- Does the function graphed above have an inverse? If so, what is the domain of that inverse?
- The functions graphed above are inverses. What is the domain and range of the green function?
- True or False\text{True or False}True or False === The domain of an inverse is the range of a function if the graphed inverse is the reflection of the graphed function over the …
- What is the domain of the inverse of the graphed function above?
- What is the domain of the inverse of the following function? f(x)=(x+2)x2−4f(x)=\frac{(x+2)}{x^2-4}f(x)=x2−4(x+2)