3+5.2x=1-2.8x
1. 3+5.2x+2.8x=1
2. 5.2x+2.8x=1-3
5.2x+2.8x=1-3
1. 8x=1-3
2. 8x=-2
8x=-2
1. =-(1/4)
Alternative form:
2. x=-0.25
Answer:
The domain of the function is all real numbers
and the range is all positive real numbers 
Step-by-step explanation:
We have the following function
and we want to find the domain and the range.
The function we have is an example of an exponential function
with b > 0 and b ≠ 1. This types of functions in general have the following properties:
- It is always greater than 0, and never crosses the x-axis
- Its domain is the set of real numbers
- Its Range is the Positive Real Numbers

The domain of a function is the specific set of values that the independent variable in a function can take on.
When determining domain it is more convenient to determine where the function would not exist.
This function has no undefined points nor domain constraints. Therefore the domain is
.
The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is
.
We can check our results with the graph of the function.
Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
<h3><u>Solution:</u></h3>
Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
We have to find time taken by Max to cover the same distance walking at 4.2 km/h
<em><u>The relation between speed and time is given as:</u></em>

<em><u>CASE 1:</u></em>
It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
Let us first find the distance covered
Time taken = 1.8 hours and speed = 3.5 km/hr

Hence distance covered is 6.3 km
<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours