Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Answer:
7.35 miles per hour
Step-by-step explanation:
Divide 29.4 by 4
Answer:
Option C
Step-by-step explanation:
Segment addition postulate states that "if a point Q lies on a segment joining two points A and B, then AQ + BQ = AB"
By this postulate,
AQ + BQ = AB
BP + PC = BC
Since, BP ≅ BQ and PC ≅ QA
Therefore, BP + PC ≅ BQ + QA
BC ≅ AB
Option (C) will be the answer.
Answer:
B.
Step-by-step explanation:
2,400 = 7,500
First of all, you want to isolate the by dividing each side by 7,500.
After doing this, you will get
= 
.
Putting this in the logarithmic form, you get 
= - x
To get rid of the negative sign, you would simply multiply both dies of the equation by -1. So you would get 
= x.
When you simplify 2400/7500, you get 8/25, so the answer is B.
Hope this helps!
Divide by 2 to get
5^x = 7
Now take the logarithm.
x·log(5) = log(7)
x = log(7)/log(5) ≈ 1.209062
