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.