Math, asked by tejasvitambe0, 8 months ago

f(x) =5×-3 its value at x=0

Answers

Answered by prangyasreemishra10
0

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 )

Answered by rishiupadhyay699
0

Answer:

f (x)=5x-3 ,x=0

f(0)=5×0-3

f (0)=0

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