Question

HELPP FASTTT PLEASEE HELP MEEE!!!!

1-2

x+1
1. If f(x) = find f-'(x)=
2
2
Y +1
y-1
b. 2y-1
c. 2x +1
d.
a.
e. 2x -1
2.
2

Answer 1

1) 2x-1

2) 8 , 11, 11.3

Explanation:

1) To figure out the inverse of a function , first change the F(x) to y

y =
`(x+1)/(2)`

Then switch the x and y

x =
`(y+1)/(2)`

Solve for y. Multiply by 2 both sides. Subtract 1 from both sides.

2) Use distance formula : d =
`\sqrt{(x_(2)-x_(1)) ^(2) + (y_(2)-y_1)^(2) }`

the first two are easy because the same x value. so just calculate Δy

-2 - 6 = -8 When you square it it becomes positive 64 and square root it and it becomes 8.

the next is a Δx. same method. 8-(-3) = -11 Square and square root and you get 11.

last one use the formula. substitute values of x's and y's into equation and solve for d.