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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

Respuesta :

calculista

Answer:

Option a) x = −1, 5.4

Step-by-step explanation:

we have

[tex]f(x)=x^{2} -x-12[/tex]

[tex]g(x)=3.4x-6.6[/tex]

equate f(x) and g(x)

[tex]x^{2} -x-12=3.4x-6.6[/tex]

Solve the quadratic equation by graphing

The solutions are x=-1 and x=5.4

see the attached figure

Ver imagen calculista

Answer:

x= -1, 5.4

Step-by-step explanation:

[tex]f(x)= x^2-x-12[/tex]

[tex]g(x)= 3.4x -6.6[/tex]

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

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