Question

f(x)=1/2 x +1

a. Find the Inverse f(x) and name it g(x)

Answer 1

CHANGE F(X) TO 'Y'

Y=1/2X + 1

NOW SWITCH THE PLACES OF X AND Y
X=1/2Y + 1

NOW, YOUR TURN.. REARRANGE THE EQUATION IN TERMS OF Y

Answer 2

"inverse" means a perpendicular slope

g(x) = 2x + b

(we don't know what the y-intercept is so we don't put anything for b)

g(x) = 2x

Answer 3

2 is the inverse of 1/2

Answer 4

hope this helped :)

Answer 5

@chibi_robo3 i got y=2x-2

Answer 6

@Chibi_Robo3

Answer 7

x=1/2y + 1
x-1=1/2y
2x-2=y

now change y=g(x)
therefore, g(x)=2x-2
yep seems right :)

Answer 8

sorry for the late response, i had to do something