Question

please help i don't understand and I'm gonna fail!!
Task 1

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
c
x
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

the equations are f(x)=x+a/b and g(x)=cx-d

Answer 2

@Maria977

Answer 3

@Arielle

Answer 4

HI!!

Answer 5

any numbers?

Answer 6

Hello

Answer 7

lets start with
\[g(x)=cx-d\] and plug in some numbers here

Answer 8

lets not make it too hard
\[g(x)=3x-4\] now lets find \(g^{-1}(x)\) by solving
\[x=3y-4\] for \(y\)

Answer 9

add \(4\) get \(x+4=3y\) then divide by \(3\) to get
\[f(x)=\frac{x+4}{3}\]

Answer 10

so you can say "\(a=4,b=3,c=4,d=3\)

Answer 11

ok

Answer 12

so the equations would be f(x)=x+4divided by 3 and g(x)=4(x)-3

Answer 13

@misty1212