Answer: 536.625
Step-by-step explanation:
First you have to divide, so the answer is 9/14. Hope this helps! :)
The domain of the function is [-4,∞).
Domain is the set of all the possible inputs for which the function is defined.
The given function is:
y = √x+4
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
x+4≥0
Subtract 4 from both the sides.
x+4-4 ≥ 0-4
x ≥ 4
The domain of the function is:
Domain = {xIx ≥ -4} = [-4,∞)
learn more about Domain here:
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The transformation of a function may involve any change. The function with the graph are given below.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units: y=f(x+c) (same output, but c units earlier)
- Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)
The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.
Learn more about Transforming functions:
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Analysis of the problem - working out what the problem is and setting down any testing that will happen to check that the solution works.
Design the solution - maybe there is more than one way to solve the problem, but the best way needs to be designed
Implementation of the design - produce the design: testing that the solution works should be included here
Evaluation - The solution is now used to solve the problem: Feedback is asked for to check that the solution does meet the original problem and solves it.