Question

Find f-1(x)

***the -1 is an inverse function, not negative 1***

Sketch the graphs of y=f(x) and y=f-1(x)

Equation is: f(x)=2x+3

Answer 1

y = 2x +3
what is slope?
what is y-intercept?

Answer 2

you can find the slope of the line by taking the derivitive of your function, f'(x)=2 but with out any known points i don't think there is a way to plug your findings back into a graphable line equation. unless you looking for a straight line that goes across y=2x, something to think about i guess. hope this helps a bit

Answer 3

the slope of a straight line is its slope :)

2

Answer 4

the inverse of a function is when you transpose x and y then solve for y

Answer 5

yea i messed up putting the x into my y=2 equation

Answer 6

ok y-intercept is 3
so go to graph and plot point on (0,3)
slope is 2 (rise/run)
so from (0,3) go up 2 and over 1(2,4)
repeat to get more points

do the same thing for inverse funtion
y=x/2 - 3/2

Answer 7

f(x) = y = 2x+3

f^-1(x) = x = 2y+3

f^-1(x) = y = (x-3)/2

Answer 8

y=x/2 - 3/2
start at (0,-3/2)
go up 1 over 2 (2,-1/2)