Question

Will give medal

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

I already have the first part

Answer 2

f(x) = \[\frac{ x+2 }{ 6}\]

Answer 3

g(x)=6x-2

Answer 4

is this algebra

Answer 5

Yes

Answer 6

so you want the inverse of f(x) >?

Answer 7

ok so you want help with part 2)

Answer 8

Yeah

Answer 9

to show that g(x) is the inverse of f(x) you have to show that
f(g(x)) = x

Answer 10

all of those parentheses confuse me lol.

Answer 11

$$\Large {
f(x) = (x + 2) / 6 \\
g(x) = 6x-2\\
f(g(x)) = f(6x-2) = \frac{(6x-2)+2}{6}
\\ =\frac{6x}{6} = \frac{x}{1}= x
}$$

Answer 12

so did you set x equal to 6x-2 or something?

Answer 13

wait nevermind that wouldnt make any sense. how did you get the f(g(x)) equation?

Answer 14

What i was doing was, im testing to see if f(g(x)) = x

Answer 15

Ohhh okay. So is that how you prove that the inverse of f(x) is equal to the inverse of g(x)? or is that how you evaluate f(g(x))