Fill in the blanks please

Question

Complete this activity

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

2f(x)-h(x)=

Fill in: _ x _ _ _ 1/x-1 _ _ _ _

Options to fill in: xy=+-1234567890 ^2

Answer 1

Hi Ward R.,

For this problem you have to multiply f(x) by 2 and then subtract h(x) here are the steps:

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

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

2f(x) = 2x + 4

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

distribute the negative

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

combine the terms

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

I hope this helps.