Question

To show how to solve the equation, create two functions and find their intersection points. What two functions can be used to solve the following equation, and what is their solution set?

10 - x 2
= x + 4

(1 point)
Responses

g(x) = x + 4, f(x) = 10 + x2
, {-3,2}
g(x) = x + 4, f(x) = 10 + x2, {-3,2}

f(x) = 10 + x2
, g(x) = x + 4, {-3, 1}
f(x) = 10 + x2, g(x) = x + 4, {-3, 1}

f(x) = 10 - x2
, g(x) = x + 4, {-3,2}

Answer 1

[AI-generated answer — Bot GPT 3.5]

The two functions that can be used to solve the equation are:

f(x) = 10 - x^2
g(x) = x + 4

Their intersection points can be found by setting f(x) equal to g(x) and solving for x:

10 - x^2 = x + 4
x^2 + x - 6 = 0
(x + 3)(x - 2) = 0
x = -3 or x = 2

So, the solution set is {-3, 2}.