Question

raph f(x)=2x−1 and g(x)=−x+5 on the same coordinate plane. What is the solution to the equation f(x)=g(x) ?

Answer 1

Find the vertex: X (1, –8)✔ (2, –9)(2, –5)(3, –4)Find the y-intercept: (0, –9)✔ (0, –5)X (0, 4)(0, 5)

Explanation:

Answer 2

(2, 3)

Explanation:

To find the solution to f(x) = g(x) equate both, that is

2x - 1 = - x + 5 ( add x to both sides )

3x - 1 = 5 ( add 1 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either f(x) or g(x) for corresponding value of y

f(2) = (2 × 2) - 1 = 4 - 1 = 3

solution is (2, 3)