Answer:
A.
Step-by-step explanation:
1) to rewrite the given equation:
f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;
2) the roots are:

3) finally, the correct answer is A.
The formula is base x height
3.5 + 2 = 2x - 10
5.5 = 2x -10
+10 +10
—————————
15.5 = 2x
—— ——
2 2
7.75 = x
7.75 is the 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.
If
, then by rationalizing the denominator we can rewrite

Now,

and


