Let ​​ f(x)=−32x and ​ g(x)=(12)x−1 . Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes.

Respuesta :

Dibny
Refer to the attachment for the graph of the two functions in Desmos. To solve for the solution, we just equate the two functions and solve for x:

[tex]-32x=12x-1[/tex]
[tex]-44x=-1[/tex]
[tex]x= \frac{1}{44} [/tex]

For the y value we just substitute x in any of the function:
[tex]f( \frac{1}{44})=-32( \frac{1}{44})=- \frac{8}{11} [/tex]

ANSWER: The solution to the equation f(x)=g(x) is ([tex] \frac{1}{44} [/tex],[tex] \frac{-8}{11} [/tex]).
Ver imagen Dibny
sqvll

the answer is:

x = -2 or x = 0