Question

Graph the functions on the same coordinate axis.

S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)

Answer 1

(-1,0) and (8,9)

Explanation:

The solution will be obtained when f(x) = g(x)

Mathematically;

x + 1 = x^2-6x-7

x^2-6x-x-7-1 = 0

x^2-7x-8 = 0

x^2-8x + x -8 = 0

x(x-8) + 1(x-8) = 0

(x+1)(x-8) = 0

x = -1

x = 8

so let us get the f(x) and g(x) values

For x + 1

-1 + 1 = 0

8 + 1 = 9

Points are;

(-1,0) and (8,9)