51.0k views
2 votes
Y = 4/11x + 1

f(5) =

f'(5) =

User HarryM
by
8.3k points

1 Answer

3 votes

Answer:

f(5) = 31/11

f'(5) = 4/11

Explanation:

y = 4/11x + 1

f(x) = 4x/11 + 1 ==> y = f(x)

f(5) = 4(5)/11 + 1 ==> substitute 5 for x

f(5) = 20/11 + 1 ==> simplify

f(5) = 20/11 + 11/11 ==> make common denominators to simplify easier

f(5) = (20+11)/11

f(5) = 31/11

f'(x) = 4/11

Hence, f'(5) = 4/11 since every value of x will make the derivative 4/11.

User Magnus Johansson
by
8.1k points