Hello. I need assistance with this ONE question from my Algebra homework as soon as possible please

Question

Question 1: Use composition to identify the functions that are inverses of each other.

 

 A.)

 

 B.)

 

 C.)

 D.)

 

 

 

Question 2: Identify the inverse of f(x) = 4 + x2. Determine whether it is a function and state its domain and range.

 

A.) 

 

 

B.)

 

 

 C.)

 

 

D.) 

 

help

Answer 1

1) The test to determine if functions are inverses of each other is f(g(x)) = g(f(x)) = x

Only one of the functions passes that test.

2) To find the inverse of y =4+x², swap x and y and solve for y.

If you plot the inverse function, apply the vertical line test. If there is more than one y-value for x, then

it is not a function. To determine the domain, watch out for negative values under the square root and exclude those values.