The graphs of f(x) and g(x) are shown below: graph of function f of x equals x squared minus x minus 12. Graph of function g of x equals negative 2.5 times x minus 2 What are the solutions to the equation f(x) = g(x)? x = −3, 4 x = −4, 2.5 x = −0.8, 2.5 x = 8, −8
Accepted Solution
A:
Answer:x = −4, 2.5Step-by-step explanation:Let's write this problem algebraicallyf(x) = x^2 - x - 12g(x) = -2.5x - 2We want to find the solutions to the equation f(x)=g(x) so we set them equal to each otherf(x)=g(x)x^2 - x - 12 = -2.5x - 2Adding 2.5x and 2 to both sides,x^2 + 1.5x - 10 = 0Factoring, we get(x + 4) (x - 2.5) = 0So,x + 4 = 0 ⇒ x = -4x - 2.5 = 0 ⇒ x = 2.5