Question

5. If f = {(4,5), (5,6), (6,- 4)) and g = {(4,-4), (6,5),(8,5), then find
2f, f2,2+f, fg, f+g, f -g, 2f + 4g, f/g,
f-8/g2
​

Answer 1

Answer:

I HOPE MY ANS IS CORRECT

Answer 2

The values are given below.

Given,

f={(4,5)(5,6),(6,-4)}

g={(4,-4),(6,5),(8,5)}

To find,

2f,f2,2+f, fg, f+g, f -g, 2f + 4g, f/g,

f-8/g2

Solution,

To find the answers, we have to put the function equal to y and then find the value of the ordinate.

For example, To find 2f,

y=2f

y=2f(x)

2f(4)=10

2f(5)=12

2f(6)=-8

So, 2f is {(4,10),(5,12),(6,-8)}

Similarly, we can find the remaining,

f2={(4,25),(5,36),(6,16)}

fg={(4,-20),(6,-20)}

f+g={(4,1),(6,1)}

f-g={(4,9),(6,-9)}

f/g={(4,-5/4),(6,-4/5)}

To find, f-8/g2

let's find, f-8={(4,-3),(5,-2),(6,-12)}

g2={(4,16),(6,25),(8,25)}

(f-8)/g2={(4,-3/16),(6,-12/25)}

Now, to find 2f+4g,

We already have 2f, we have to find 4g.

4g={(4,-16),(6,20),(8,20)}

2f+4g={(4,-6),(6,12)}

#SPJ2