The final answer is
125x^3-100x^2-40x+16
its not factorable
Answer:
![\large\boxed{f(1-x)=x^2-4x+5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%281-x%29%3Dx%5E2-4x%2B5%7D)
Step-by-step explanation:
![f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=f%28x-3%29%3Dx%5E2-4x%2B5%5C%5C%5C%5Cf%28%28x-3%29%2B3%29%5Cto%5Ctext%7Bput%20x%20%2B%203%20to%20the%20equation%20of%20the%20function%3A%7D%5C%5C%5C%5Cf%28x-3%2B3%29%3D%28x%2B3%29%5E2-4%28x%2B3%29%2B5%5C%5C%5Ctext%7Buse%20the%20distributive%20property%20and%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5Cf%28x%29%3Dx%5E2%2B2%28x%29%283%29%2B3%5E2%2B%28-4%29%28x%29%2B%28-4%29%283%29%2B5%5C%5Cf%28x%29%3Dx%5E2%2B6x%2B9-4x-12%2B5%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5Cf%28x%29%3Dx%5E2%2B%286x-4x%29%2B%289-12%2B5%29%5C%5Cf%28x%29%3Dx%5E2%2B2x%2B2%5C%5C%5C%5Cf%281-x%29%5Cto%5Ctext%7Bput%201%20-%20x%20to%20the%20equation%20of%20the%20funtion%20f%28x%29%3A%7D%5C%5C%5C%5Cf%281-x%29%3D%281-x%29%5E2%2B2%281-x%29%2B2%5C%5C%5Ctext%7Buse%20the%20distributive%20property%20and%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5](https://tex.z-dn.net/?f=f%281-x%29%3D1%5E2-2%281%29%28x%29%2Bx%5E2%2B%282%29%281%29%2B%282%29%28-x%29%2B2%5C%5Cf%281-x%29%3D1-2x%2Bx%5E2%2B2-2x%2B2%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5Cf%281-x%29%3Dx%5E2%2B%28-2x-2x%29%2B%281%2B2%2B2%29%5C%5Cf%281-x%29%3Dx%5E2-4x%2B5)
Answer:
a is a tangent to the circle
b is a radius
c is a diameter
d is a chord
Step-by-step explanation:
I hope this helps
The domain of the line in the graph is x∈R.
<h3>
What is a domain?</h3>
- The set of all potential inputs for a function is its domain.
- For instance, the domain of f(x)=x² and g(x)=1/x are all real numbers with the exception of x=0.
- Additionally, we can define special functions with more constrained domains.
- Consider the function y = f(x), which has the independent variable x and the dependent variable y.
- A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
So, the domain the line is:
- From the given graph, we know that y = every time.
Which means, in the given graph, y = x = 10.
This also means:
- y = x = 9
- y = x = 11
- y = x = 10
The values of x can go to infinity.
- Then the domain will be x∈R.
Therefore, the domain of the line in the graph is x∈R.
Know more about the domain here:
brainly.com/question/2264373
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