Question

Question #7ca7c

Answer 1

`8,-6,0," undefined"`

Explanation:

`"(a) (f+g)(1) means evaluate f(x)+g(x) when x = 1"`

`"That is " (f(1)+g(1)`

From the above table for x = 1 , check along the row and read the values given for f(x) and g(x)

`x=1tocolor(red)(f(x)=7)" and " color(blue)(g(x)=1)`

`rArr(f+g)(1)=7+1=8`

`" (b) Similarly"`

`(fxxg)(-1)" This time we want the product of the functions when x = - 1"`

From the table for x = - 1 , check along the row and read the values.

`x=-1tocolor(red)(f(x)=3)" and " color(blue)(g(x)=-2)`

`rArr(fxxg)(-1)=3xx-2=-6`

`" (c) again similar to above"`

`x=3tocolor(red)(f(x)=9)" and " color(blue)(g(x)=9)`

`rArr(f-g)(3)=9-9=0`

`" (d) " x=0tocolor(red)(f(x)=5)" and " color(blue)(g(x)=0`

`rArr(f/g)(0)=5/0" which is undefined"`