Answer: The answer is 5.6d+ 2.1
Step-by-step explanation:
Add then subtract then add then multiply then subtract then divide.
Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex

Factor -1 the leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
Basically you just have to plug in g(x) wherever you see an x in the equation f(x) since x is f(x) you just substitute it . So f(g(x))=2x+3
You then just have to solve for 0
0=2x+3
Subtract 3 from both sides
-3=2x
Divide by 2
X=-3/2
Answer: 12.2474487139
Step-by-step explanation:
(I think what you wrote is just the square root of 150? if I read this wrong please let me know so I can correct my answer.)
*If you plug in the square root of 150 into a calculator, you get 12.2474487139