7: please help! please only real answers; will report

The resulting function is .

Step-by-step explanation:

Let a real function, we define the following function operations:

Horizontal translation

(1)

If , then horizontal translation is to the left, otherwise it is to the right.

Vertical translation

(2)

If , then vertical translation is upwards, otherwise it is downwards.

Knowing that and is the result of translating four units downwards and five units to the left. Then, we find that:

The resulting function is .

the workers who do no drive has no reasonable reason to buy gasoline due to they don't have anything to use it for

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this