Answer:
The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5
Step-by-step explanation:
Answer:
Hence, g(x) is inverse of f(x)
Step-by-step explanation:
The provided function are f(x)=5x-25 and [tex]g(x)=\frac{1}{5}x+5[/tex]
To check g(x) is the inverse of f(x)
Plug the formula for g(x) into every instance of "x" in the formula for f (x):
(fog)(x) = f(g(x))
[tex]= 5(\frac{1}{5}x+5)-25[/tex]
= x+25-25
= x
Now, plug the formula for f (x) into every instance of "x" in the formula for g(x) :
(gof)(x) = g(f(x))
= [tex] \frac{1}{5}x+5[/tex]
= [tex] \frac{1}{5}(5x-25)+5[/tex]
= x - 5 + 5
= x
Both ways we get "x"
So, both functions are inverse of each other.
Hence, g(x) is inverse of f(x) .
