f(x) =5×-3 its value at x=0
Answers
Answer:
Therefore, f is continuous at x=5.
Step-by-step explanation:
he given function is f(x)=5x−3
At x=0,f(0)=5(0)−3=−3
x→3
lim
f(x)=
x→3
lim
f(5x−3)=5(0)−3=−3
∴
x→3
lim
f(x)=f(0)
Therefore, f is continuous at x=0
At x=−3,f(−3)=5(−3)−3=−18
x→−3
lim
f(x)=
x→−3
lim
(5x−3)=5(−3)−3=−18
∴
x→−3
lim
f(x)=f(−3)
Therefore, f is continuous at x=−3
At x=5,f(x)=f(5)=5(5)−3=25−3=22
x→5
lim
f(x)=
x→5
lim
(5x−3)=5(5)−3=22
∴
x→5
lim
f(x)=f(5)
he given function is f(x)=5x−3
At x=0,f(0)=5(0)−3=−3
x→3
lim
f(x)=
x→3
lim
f(5x−3)=5(0)−3=−3
∴
x→3
lim
f(x)=f(0)
Therefore, f is continuous at x=0
At x=−3,f(−3)=5(−3)−3=−18
x→−3
lim
f(x)=
x→−3
lim
(5x−3)=5(−3)−3=−18
∴
x→−3
lim
f(x)=f(−3)
Therefore, f is continuous at x=−3
At x=5,f(x)=f(5)=5(5)−3=25−3=22
x→5
lim
f(x)=
x→5
lim
(5x−3)=5(5)−3=22
∴
x→5
lim
f(x)=f(5)
Therefore, f is continuous at x=5.
Hence f is continuous at all the given points (In fact f is continuous for all R, Since it is a polynomial )
Hence f is continuous at all the given points (In fact f is continuous for all R, Since it is a polynomial )
Answer:
f (x)=5x-3 ,x=0
f(0)=5×0-3
f (0)=0