Question

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=
x+a
b

g(x)=cx−d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)).
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

Answer 1

@Vocaloid @UsukiDoll

Answer 2

@mathway

Answer 3

please help @Loser66

Answer 4

Can you take a snapshot?

Answer 5

of equations?

Answer 6

yup

Answer 7

does that help?

Answer 8

yes, I can see it. Let me think

Answer 9

I have no clue what im doing

Answer 10

@Mehek14 can you help

Answer 11

can anyone help because i am lost and i think you have a much better idea whats going on here than i do

Answer 12

@Vocaloid @UsukiDoll

Answer 13

Maybe, I overthink of it. May be, it is just
f(x) = x +2
g(x) = x -2
since then f(g(x) = x and g(f(x)) = x also
and then f , g are inverse of each other.!! ha!!

Answer 14

if it is that simple, then a =2, d = 2 , c = 1 , b =1.

Answer 15

@freckles Am I underestimate the problem?

Answer 16

\[f(x)=\frac{x+a}{b} \\ b f(x)=x+a \\ b f(x)-a=x \\ f^{-1}(x)=bx-a \\ \text{ is suppose to be equal to } g(x) \\ bx-a=cx-d \\ \implies b=c \text{ and } a=d\]
the possibilities are infinite

Answer 17

so loser's values will work