Consider the function f(x)= 2/5x - 4 a. find the inverse of and name it . show and explain your work. b. use function composition to show that and are inverses of each other. c. draw the graphs of and on the same coordinate plane. explain how your graph shows that the functions are inverses of each other

The inverse of the function is .

Step-by-step explanation:

The given function is

Interchange the variable x and y.

Now find the value of y in terms of x,

Divide both sides by 2.

Put y=g(x)

Therefore the inverse of the function is .

If two function f and g are inverse of each other then .

Therefore f(x) and g(x) are inverse of each other.

Graph of both functions are mirror image of each other across the line y=x, therefore functions are inverses of each other.

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

hope this !

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