F(x)=2x-5
k(x)=f(x+3)=2(x+3)-5=2x+6-5=2x+1
k(x)=2x+1
Answer:


Step-by-step explanation:
Given

Solving (a): Write as inverse function

Represent a(d) as y

Swap positions of d and y

Make y the subject


Replace y with a'(d)

Prove that a(d) and a'(d) are inverse functions
and 
To do this, we prove that:

Solving for 

Substitute
for d in 




Solving for: 

Substitute 5d - 3 for d in 

Add fractions



Hence:

Answer:
2.04 seconds
Step-by-step explanation:
Falling objects near the surface of the earth have an acceleration of -9.81 m/s².
Acceleration is the change in velocity over change in time:
a = (v − v₀) / t
-9.81 = (-30.0 − (-10.0)) / t
-9.81 = -20.0 / t
t = 2.04
It takes 2.04 seconds.
To find the scaled version of this rectangle by 1/2, start by identifying what this scale factor does to effect the numbers.
In this case, it causes each to divide by two.
Divide each value on the length and width of the rectangle by two.
This results in:
4/2
8/2
Now, perform the division to find your final answer.
This gives you 2 ft by 4 ft.
Answer choice C is the best option.
I hope this helps! :)