Answer:
5
Step-by-step explanation:
b = 13 - 8 = 5
Answer:
Option B and C are correct.
Step-by-step explanation:
Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:
for every x∈R.
Let
and 
Use logarithmic rules:
then, by definition;
= 

Similarly;
for
and 
then, by definition;
= 
Similarly,
g(f(x)) = x
Therefore, the only option B and C are correct. As the pairs of functions are inverse function.
Consider the value of f at x=2.
f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.
The graph of g is the graph of f compressed horizontally by a factor of 1/5.
So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).
All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :
g(x)=x+3.
Answer: <span>A) g(x)=x+3</span>
Answer:
300=initial time and 0.05 is the amount of time shaved off of the initial time to run the marathon
Step-by-step explanation:
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B