Question

f(x) = x2 + 1 and g(x) = x2 - 1.Step 3 of 3 : Find five ordered pairs that satisfy the sum of the functions, f(x) = x2 + 1 and g(x) = x2 – 1.AnswerHow to enter your answer (Opens in new window){O, O)(OO)(O)(O)(OO)}

Answer 1

$\left(-1,2\right),(0,0),(1,2),(2,8),(3,18)$

1) To find five ordered pairs that satisfy the sum of functions f(x)=x²+1 and g(x)=x²-1 let's add these functions:

2) Let's set a t-table for 5 points that are in the f(x) function:

So, here it goes 5 points for f(x) (-1,2), (0,1), (1,2), (2,5), (3,10)

3) Now for g(x)=x²-1, as in step 2

(-1,0), (0,-1), (1,0), (2,3), (3,8)

4) And finally, the five ordered pairs the sum of f(x) and g(x):

$\begin{gathered} (f+g)(x)=x^2-1+x^2+1 \\ (f+g)(x)=2x^2 \end{gathered}$

(-1, 2), (0,0), (1,2), (2,8), (3,18)