Question

Please help me with 3 math questions!!! I will give 30 points and brainliest to whoever answers the best!

1. Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) = (answer) x (answer)(answer)

ƒ -1(4) = (answer)

2. Match each function with the expression representing its inverse function. Match one of the numbers with the correct letter.
1. y = x - 4
2. g(x) = -0.5x
3. k(x) = x
4. p(x) = x + 4
5. h(x) = 4x
6. ƒ(x) = x/2

a. 2x
b. x + 4
c. x - 4
d. -2x
e. 0.25x
f. x

3. The graph of a function g is shown below.

Find its inverse.
(picture below, my answer is NOT correct)

Answer 1

to find inverse, switch x and f(x) and solve for the new f(x), the new f(x) is the inverse. 
original function: f(x)=(1/2)x+4
switch: x=(1/2)f(x)+4
f(x)=2x-8, this is the answer for question 1

answer for question 2: 1-b, 2-d, 3-f, 4-c, 5-e, 6-a

question 3
From the given graph, we know the slope is 2/5, the y intercept is -2, so the original function is f(x)=(2/5)x-2
switch x and f(x): x=(2/5)f(x)-2
solve for f(x): (2/5)f(x)=x+2
multiply both side by 5/2: f(x)=(5/2)x+5,
so the second choice is the correct answer.