Answer:
B. [tex]g(x)=5(x-4)[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=5x[/tex]
It is shifted right side by 4 units
We know that
Whenever any function is shifted right side by 'a' units
we can replace x as x-a
x----->(x-a)
Here , it is shifted right side by 4 units
so, we can replace x as x-4
we get
[tex]g(x)=f(x-4)[/tex]
[tex]g(x)=5(x-4)[/tex]
Answer: B. [tex]g(x)=5(x-4)[/tex]
Step-by-step explanation:
When we shift a function h(x) by n units right , the new function will be :-
[tex]d(x)=h(x-n)[/tex]
Given : There is a horizontal shift of [tex]f(x)=5x[/tex] by 4 units to the right, then new function will be :-
[tex]g(x)=f(x-4)\\\\\Rightarrow\ g(x)=5(x-4)[/tex]
Hence, the function represents a horizontal shift of ƒ(x) = 5x by 4 units to the right is [tex]g(x)=5(x-4)[/tex]
