[Expert Answer] G(x)=5x-7;g(x² + 1)​

answered • expert verified G(x)=5x-7;g(x² + 1)​ See answer ProfessorLathifah ProfessorLathifah

Function g(x)

Perhaps what is meant by the problem is if it is known that g(x)=5x-7 then what is the value of g(x²+1)?

g(x)=5x-7

g(x²+1)=5(x²+1)-7,

g(x²+1)=5x²+5-7

g(x²+1)=5x²-2

To understand this question, let us first practice with easy questions so that there are no mistakes in understanding.

1. If it is known that g(x)=4x-5 then the value of g(8) is….

Answer:

g(x)=4x-5

g(8)=4(8)-5=32-5=27

2. If it is known that g(x)=5x-7 then the value of g(2) is….

Answer:

g(x)=5x-7

g(2)=5(2)-7=10-7=3

3. If it is known that f(x)=x-5 then the value of f(x+1) is….

Answer:

f(x)=x-5

f(x+1)=(x+1)-5

g(x+1)=x-4

4. If it is known that g(x)=x-5 then the value of g(x²+1) is….

Answer:

g(x)=x-5

g(x²+1)=(x²+1)-5

g(x²+1)=x²-4.

5. If f(x)=x²-5 is known, then the value of f(5) is….

Answer:

f(x)=x²-5

f(5)=5²-5=25-5=20

6. If f(x)=x²-5 is known, then the value of f(x+1) is….

Answer:

f(x)=x²-5

f(x+1)=(x+1)2-5

(x+1)(x+1)-5

x²+2x+1-5

x²+2x-4

7. I repeat the question above as asked if it is known that g(x)=5x-7 then what is the value of g(x²+1)?

Be careful not to have any misunderstandings like the work below.

g(x)=5x-7

g(x²+1)=(5x-7)²+1 this is a misunderstanding.

g(x²+1)=(5x-7)(5x-7)+1

g(x²+1)= 25x²-14x+49+1

g(x²+1)= 25x²-14x+50 This is an incorrect solution, the correct one is that the x behind the number 5 is replaced by (x²+1).

We repeat again.

g(x)=5x-7 then g(x²+1)=5(x²+1)-7=5x²+5-7=5x²-2.

If you face difficulties in working on math problems, then start practicing with easy questions first, and specifically for this question, practice starting from number 1 in sequence as above. I hope this explanation is sufficient.

To strengthen your understanding in this chapter, please refer to the following link:

brainly.ph/question/19554850

#SPJ2

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