Answer:
The expression used to represent g(x) as inverse of f(x) is [tex]\frac{1}{5}(5x-25)+5[/tex]
Option B is correct.
Step-by-step explanation:
We are given:
[tex]f(x)= 5x-25\\g(x)=\frac{1}{5}x+5[/tex]
We need to find the expression that could be used to verify g(x) is the inverse of f(x).
We know that [tex]g(f(x))=x[/tex] is inverse of function
So placing value of f(x) in g(x)
[tex]g(f(x))=\frac{1}{5}(5x-25)+5[/tex]
So, the expression used to represent g(x) as inverse of f(x) is [tex]\frac{1}{5}(5x-25)+5[/tex]
Option B is correct.
We can also solve to prove that [tex]g(f(x))=x[/tex]
[tex]g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x[/tex]
Answer:
B. 1/5(5x-25)+5
Step-by-step explanation:
got it right Edge 2020
