Question

Given: f(x) = x + 2 and h(x) = 1/ x - 1

2f(x) - h(x) = ?

Answer 1

2 f(x)= 2( x+2)=?

Answer 2

h(x) = (1/x) -1 or h(x) = 1/(x-1) ???

Answer 3

@jhonyy9 h(x) = 1/(x-1)

Answer 4

ok. - ty

so can you calculi what wrote above eliesaab ?

Answer 5

@jhonyy9 Not really...

Answer 6

this will give you 2f(x) = ?

Answer 7

why ?

f(x) = x+2 and this you need multiply it by 2 so will be 2(x+2) = ?

Answer 8

how you distribute this parentheses ?

Answer 9

@jhonyy9 would it be 2x + 4?

Answer 10

exactly - very nice

Answer 11

so and now 2f(x) -h(x) = ?

Answer 12

@jhonyy9 (2x + 4) - 1/ (x - 1) ?

Answer 13

yes and make the calculi

Answer 14

a-1/b = ?

Answer 15

how you subtract from one integer a fraction ?

a-(1/b) = ?

Answer 16

how many will be the common denominator ?

Answer 17

in case of my example the common denominator will be b so this mean that you need multiply the a by b and will get (a*b -1)/b

ok. ? can use this example to solve your exercise ?

Answer 18

what is b in case of your exercise ?

Answer 19

please use this example - so b in case of your exercise will be (x-1)

Answer 20

Would a be 2x + 4?

Answer 21

@jhonyy9 And 2x + 4 multiplied by x - 1 would be 2x - 4?

Answer 22

no

2x+4 - ( 1/(x-1) ) = ?

Answer 23

(2x+4)(x-1) = ?

Answer 24

= 2x*x +2x*(-1) +4*x +4*(-1) = ?

Answer 25

\[2x ^{2}+ 2x - 4\]

Answer 26

yes but dont forget the denominator

2f(x) -h(x) = ?

Answer 27

looke please

in case of my example the common denominator will be b so this mean that you need multiply the a by b and will get (a*b -1)/b

ok. ? can use this example to solve your exercise ?

Answer 28

this what you ve got above is just the part of a*b

Answer 29

do you understand it now ?

Answer 30

but you need getting (a*b -1)/b

Answer 31

so will be

2f(x) -h(x) = 2x+4 - (1/(x-1)) = [(2x+4)(x-1)-1]/(x-1) = ?

Answer 32

substitute there in place of (2x+4)(x-1) this above got value

Answer 33

= (2x^2 +2x-4 -1)/(x-1) = ?

Answer 34

-4-1 = ?

this is the last step

Answer 35

Thank you for your help! I think I get it now :)

Answer 36

ok. good luck

yw