Find the Domain and Range of Functions with Given Domain and Range Values

[Mark53]

Homework Statement

Suppose f is a function with domain [-2,10] and range [5,10]. Find the domain and range of the following functions.
(a) f(2x+4)

(b) 2f(x)+4

The Attempt at a Solution

[/B]
Would I just substitute the in the domain and range values to find the answer?

 

[BvU]

Don't ask. Do it: that counts as an attempt at solution. Ask when stuck...
Or (in a friendlier manner ) what do you get when you do as you propose ?

 

[Mark53]

Don't ask. Do it: that counts as an attempt at solution. Ask when stuck...
Or (in a friendlier manner ) what do you get when you do as you propose ?

[-2,10] if i sub this values into f(2x+4) i would get 0 and 24 does this mean that the domain would be (0,24)

Would I just do the same for the range?

 

[fresh_42]

Do you know what is meant by domain and range? Can you define it?
Hint: Is f(24) defined?

 

[Mark53]

Do you know what is meant by domain and range? Can you define it?
Hint: Is f(24) defined?

the domain is pairs of x coordinates in order and the range is pairs of y coordinates in order

 

[jbriggs444]

the domain is pairs of x coordinates in order and the range is pairs of y coordinates in order

The domain of a function is the set of values which are allowed to be used as inputs to the function. The notation "[-2,10]" denotes a range of values from -2 up through 10, inclusive. It does not denote an ordered pair.

 

[Ssnow]

Remember that $f(2x+4)=f\circ g$ where $g(x)=2x+4$, the composition requires that the range of $g$ is included in the domain of $f$ ...