Question

Consider the function f(x)=3/4x+12 what is the y-intercept of f-1(x)

Answer 1

Answer:

y = -16

Step-by-step explanation:

f(x)=3/4x+12 (replace f(x) with y)

y =3/4x+12  (rearrange to express x in terms of y)

y - 12=3/4 x

3/4 x = y - 12

3x = 4(y - 12)

x = (4/3)(y - 12)

x = (4/3)y - (4/3)(12)

x = (4/3)y - 16

$f^{-1}$ (y) = (4/3)y - 16

$f^{-1}$ (x) = (4/3)x - 16

comparing to general form

y = mx + b where b is the y-intercept

b = -16

Hence the y-intercept is y = -16

Answer 2

Answer: A

–16

Step-by-step explanation: