Question

F(x) = log(x)

9(x) = ?
Which of the following expressions is equal to g(x)?
A
log(x) - 2
B
log(x + 2)
C. log(x) + 2
D. logix - 2)

Answer 1

`g(x)=\log(x)+2`

Explanation:

Assuming the g(x) is the blue graph shown in the attachment, and
`f(x)=\log x` is the parent function, then we can obtain g(x) using transformation.

We can observe from the graph that g(x) is obtained by shifting f(x) up by 2 units.

This implies that:
`g(x)=f(x)+2`

Therefore the equation for g, is
`g(x)=\log(x)+2`