Question

If f(x)=2x, where is the y−intercept of g(x)=f(x)+4?

Answer 1

Given:

`f(x)=2x`

`g(x)=f(x)+4`

To find:

The y-intercept of g(x).

Solution:

We have,

`g(x)=f(x)+4`

Putting
`f(x)=2x`, we get

`g(x)=2x+4`

Substitute x=0 to find the y-intercept of g(x).

`g(0)=2(0)+4`

`g(0)=0+4`

`g(0)=4`

Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.