Question

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 3.4 times x minus 6.6 What are the solutions to the equation f(x) = g(x)?

a) x = −1, 5.4
b)x = −3, 4
c)x = −1, 2
d)x = −10, 12

Answer 1

x= -1, 5.4

Explanation:

`f(x)= x^2-x-12`

`g(x)= 3.4x -6.6`

f(x) is a quadratic equation and g(x) is a linear equation

To find f(x)= g(x) we need to find the point where the graph of f(x) and g(x) intersects.

The quadratic equation f(x) and linear equation g(X) intersects at two points

from the graph f(x)= g(x) at x= -1 and x=5.4

Answer 2

Option a) x = −1, 5.4

Explanation:

we have

`f(x)=x^(2) -x-12`

`g(x)=3.4x-6.6`

equate f(x) and g(x)

`x^(2) -x-12=3.4x-6.6`

Solve the quadratic equation by graphing

The solutions are x=-1 and x=5.4

see the attached figure