The range of 
is all values of x except for 0
Step-by-step explanation:
For a function:
- The domain is the range of the x that are allowed for the function - that means, the set of values of x for which the function is defined
- The range is the set of values of y, i.e. the set of all the values that the function can take
The range of a function is also equal to the domain of the inverse function. Therefore, to solve this problem, we can find the inverse function of 
and evaluate its range.
We rewrite the function as
Now we swap y with x:
And then we have to re-arrange the function to make y the subject; we get:
which means that the inverse function is
We notice that the inverse function is equal to the original function.
We notice also that this function is not defined for 
: this means that the domain of the function is all the values of x, except x=0:
this is the domain of 
, which is equal to the range of : therefore, the range of is all values of x except for 0.
Learn more about domain and range of a function:
brainly.com/question/7128279
brainly.com/question/9607945
brainly.com/question/1485338
#LearnwithBrainly
Answer:
b
Step-by-step explanation:
r=d/2=11.4/2=5.7
slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2
area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²
total surface area=157.5024+204.0372=361.5396=361.5 sq. cm
Complete Question
Mr Brown has 2 children are going to london by train
1 adult costs £24 and child ticket costs 12
The Family Railcard offers:
1/3 off adults tickets and 60% off child ticket
What is the total cost of tickets when Mr Brown uses the Family Railcard
Answer:
£25.60
Step-by-step explanation:
From the question:
1 adult costs £24
The Family Railcard offers:
1/3 off adults tickets.
Hence:
1/3 × £24 = £8
The cost for Mr Brown = £24 - £8
= £16
Child ticket costs £12
The Family Railcard offers:
60% off child ticket
Hence = 60% × £12
= 60/100 × £12
= £7.2
The cost for 1 child = £12 - £7.2
= £4.8
The total cost of tickets when Mr Brown uses the Family Railcard is:
Cost for Mr Brown + Cost for his 2 Children
£16 + 2 × £4.8
£16 + £9.6
= £25.60
Answer:
105
Step-by-step explanation:
105
