Algebra or Functions: Arthimetic

Question

F(x) = x + 2 and h(x) = 1 / x -1

2f(x) - h(x) =

Answer 1

F(x) = x + 2 and h(x) = 1/(x -1)

2f(x) - h(x) = just multiply f(x) by 2, and subtract h(x)

(2) f(x) = 2(x+2) = 2x + 4

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

2x + 4 - 1/(x-1) next you would need a common denominator, so multiply both by (x-1), distribute and simplify

(x-1)(2x+4) - 1 = (2x²-2x+4x-4)/(x-1) = (2x²+2x-4)/(x-1)

Is this what you were looking for?

Answer 2

Hi,

F(x) = x + 2 and h(x) = 1 / x -1

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

In fact, it is necessary you replace given functions in the 2f(x) - h(x)

2f(x) - h(x) = 2( x + 2 ) - (1 / x -1 )

2f(x) - h(x) = 2x + 4 - 1/x + 1 = 2x - 1/x + 5

I hope it is useful,

Minoo