Domain and range of the function and it’s inverse
1 answer:
Answer:
B (second table in list)
Step-by-step explanation:
The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is .
The domain is not restricted and it is all real numbers.
The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.
This means the domain of the inverse is and the range of the inverse is all real numbers.
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<h2>'
' in the form of 
- b.</h2>
Step-by-step explanation:
We have,
+ 8x + 15
To express + 8x + 15 in the form of
- b = ?
∴ + 8x + 15
Adding and subtracting 1, we get
= + 8x + 15 + 1 - 1
= + 8x + 16 - 1
= + 2(x)(4) +
- 1
Using the algebraic identity,
=
Thus, in the form of
- b.