Question

Given that h(x) = 4x+5 and (h-j)(x) = x-2, find j(x).

Answer 1

@freckles

Answer 2

I think I have an idea, but I don't think it is correct

Answer 3

Would I do 4(x-2)+5

Answer 4

h(x) = 4x+5 and (h-j)(x) = x-2, find j(x)

(h-j)(x) = h(x) - j(x)

x - 2 = 4x + 5 - j(x)

Solve for j(x)

Answer 5

Ok. Would that be -7/3 ?

Answer 6

x - 2 = 4x + 5 - j(x)

Add j(x) to both sides:

j(x) + x - 2 = 4x + 5

Subtract x from both sides & add 2 to both sides:

j(x) = 3x + 7

Answer 7

Oh ok.. And then once I plug them in together I should get x-2 right?

Answer 8

Let's check.
We must have h(x) - j(x) = x - 2

h(x) = 4x + 5
j(x) = 3x + 7

(h-j)(x) = h(x) - j(x)
= 4x + 5 - (3x + 7)
= 4x + 5 - 3x - 7
= x - 2

Answer 9

Thank you so much! I thought it was something along the likes of that, but I just wanted to double check.

Answer 10

Yes, but the answer is just j(x) = x - 2
I just plugged it in to check if j(x) = x - 2 was the correct answer.

Answer 11

You're welcome.