Answer: a) 
Step-by-step explanation:
Since we have given that

a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get


b) . Use composition to show that f(x) and g(x) are inverses of each other.

Similarly,

so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given: 
Rearranging:

Discriminant can be found by: 
where b=-40, a=10 and c=41
Putting values:

So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
Learn more about discriminant at:
#learnwithBrainly
Answer:
27 years
Step-by-step explanation:
Given that :
Adrian's age = 3
Father's age = 34
In how many years will Adrian be twice as young as his father?
Let the number of years = x
2(3 + x) = 34 + x
6 + 2x = 34 + x
2x - x = 34 - 6
x = 28
28, 14, 7, 0 is a sequence for this
Answer:
339.375 choose d
Step-by-step explanation:
Regular work 40 hours and 3.5 overtime hours
Overtime wage is 1.5 times the regular one
40×7.5+3.5×7.5×1.5=339.375