Answer:
Step-by-step explanation:
the equatoin is 4x+77=497
and x is the hours spent
so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105
Answer:
-5/2
Step-by-step explanation:
5+i/2i cancel out the i's and it will be equal to 5/2
Answer:
He is incorrect.
Step-by-step explanation:
The range values cannot be greater than the domain values because of the known mathematical fact that all inputs (domain) can only have one output (range). This mathematical fact proves that the range can only be equal to the amount of inputs, not greater. To show why let's look at an example.
Ex:
Inputs: Outputs:
1 2
3 2
6 2
Using that example we can already conclude that the domain values can be greater than the range values because each of the different inputs can have the same outputs as shown in the table above. But the thing with range is you can't have more than one output for the inputs. For example 1 (input) = 2 output and this will always equal 2 no matter what. You cannot have the inputs of 1 and have different outputs 2 and 4. Since you cannot have more than one output for an input it makes the amount of range values impossible to be greater than the domain values.
Hope that helped.
Answer:
(f•g)(x) = 3x^2 -1/3
Step-by-step explanation:
The solid dot in (f•g)(x) is assumed to mean you want the product of the functions, not their composition. So, ...
(f•g)(x) = f(x)•g(x) = (x -1/3)(3x +1) = x(3x +1) -1/3(3x +1) = 3x^2 +x -x -1/3
(f•g)(x) = 3x^2 -1/3
