Question

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.

Answer 1

the answer is:

x = -2 or x = 0

Answer 2

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:


`-32x=12x-1`

`-44x=-1`

`x= (1)/(44)`

For the y value we just substitute x in any of the function:

`f( (1)/(44))=-32( (1)/(44))=- (8)/(11)`

ANSWER: The solution to the equation f(x)=g(x) is (
`(1)/(44)`,
`(-8)/(11)`).