Step One
Figure out the actual change.
Change = 2.78 - 2.45
Change = 0.33
Step 2
Find the % change
% Change = 0.33/2.45 * 100 = 13.5%
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
<h3>How to determine the domain of a function with radical components</h3>
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
To learn more on functions: brainly.com/question/12431044
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Answer:
![f^{-1}(x)=\dfrac{\sqrt[3]{x}+1}{2}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7Bx%7D%2B1%7D%7B2%7D%7D)
Step-by-step explanation:
Interchange x and y in the function definition and solve for y.
![x=(2y-1)^3\\\\\sqrt[3]{x}=2y-1\qquad\text{take cube root}\\\\\sqrt[3]{x}+1=2y\qquad\text{add 1}\\\\y=\dfrac{\sqrt[3]{x}+1}{2}\qquad\text{divide by 2}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x}+1}{2}}](https://tex.z-dn.net/?f=x%3D%282y-1%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bx%7D%3D2y-1%5Cqquad%5Ctext%7Btake%20cube%20root%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bx%7D%2B1%3D2y%5Cqquad%5Ctext%7Badd%201%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7Bx%7D%2B1%7D%7B2%7D%5Cqquad%5Ctext%7Bdivide%20by%202%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7Bx%7D%2B1%7D%7B2%7D%7D)
Answer:
8 hours
Step-by-step explanation:
if 189 miles= 7 hours. what about 216 miles.you cross multiply
