Question

What is the equation of g(x)?

Answer 1

The first choice is correct: g(x) = 10^(x-3).

Answer 2

Answer with Step-by-step explanation:

As we can clearly see the graph of g(x) passes through (4,10) i.e.

g(4)=10

• 
  `g(x)=10^(x-3)`

`g(4)=10^(4-3)`

g(4)=10

• 
  `g(x)=10^(x+3)`

`g(4)=10^(4+3)`

`g(4)=10^7`

• 
  `g(x)=10^x-3`

`g(4)=10^4-3`

`g(4)=10^4-3`

• 
  `g(x)=10^x+3`

`g(4)=10^4+3`

`g(4)=10^4+3`

Hence, g(4)=10 is satisfied only in the case
`g(x)=10^(x-3)`

Hence, Correct option is:

`g(x)=10^(x-3)`