Given:
[tex]f(x)=2x[/tex]
[tex]g(x)=f(x)+4[/tex]
To find:
The y-intercept of g(x).
Solution:
We have,
[tex]g(x)=f(x)+4[/tex]
Putting [tex]f(x)=2x[/tex], we get
[tex]g(x)=2x+4[/tex]
Substitute x=0 to find the y-intercept of g(x).
[tex]g(0)=2(0)+4[/tex]
[tex]g(0)=0+4[/tex]
[tex]g(0)=4[/tex]
Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.
