Question

Review the equation, then complete the following. f(x) = 2x + 5 , g(x) = (2 - 5)/2 1. Graph the functions f(x) and g(x) on the same coordinate plane. You may use technology to create the graph of the functions or submit a handwritten graph. 2 In two or more complete sentences, explain how to use the graphs of f(x) and g(x) to prove that the functions are Inverses of each other.

Answer 1

See graph and explanation below

Step-by-step explanation:

`\begin{gathered} f\mleft(x\mright)=2x-5 \\ g\mleft(x\mright)\text{ = }\frac{x\text{ - 5}}{2} \end{gathered}`

Plotting both graphs:

To prove the functions are inverse of each other:

At any coordinate, the value of x (input) of one function is the the value of y (output ) of the second function and vice versa. The value of x (input) of second function is the the value of y (output ) of the First function.

for f(x): when x = -2.5, y = 0

for g(x): when x = 0, y = -2.5

for f(x): when x = 0, y = 5

for g(x): when x = 5, y = 0