Answer:
Step-by-step explanation:
Let's organise our information :
- the function is (1/2)x²+2x+3
we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7
Now the trick is to write this expression as a quadratic equation with zero at one side :
- (1/2)x²+2x+3-x-7=0
- (1/2)x²+x-4=0
Now let's solve this equation :
Δ=1²-4*(1/2)*(-4)
= 9
So we have two solutions :
So the solutions are -4 and 2
Answer:
9/10
Step-by-step explanation:
the rule says

so in our case
a=3
b=4
c=5
d=6
so the division is

we can simplify

that's our answer
I don't know if you need step by step of the rule, if you need let me know
Answer:
Domain is all real numbers
Range is

Step-by-step explanation:
The given function is

This is a maximum quadratic function therefore the domain is all real numbers.
Let us complete the square to find the vertex.




Therefore the range is


See graph