Question

I just need to check my answers for a project I'm doing!

Answer 1

For the second one IDK if I am supposed to turn it into an inverse function or what, but if someone can explain I'll really appreciate it! :)

Answer 2

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

A = 5 B = 3 C = 7 D = 6

f(x) = (x + 5)/3
g(x) = 7x - 6


Show your work to prove that the inverse of f(x) is g(x).

f(x) = (x + 5)/3
y = (x + 5)/3
x = (y + 5)/3
y = 3x - 5
f^-1(x) = 3x - 5

g(x) = 7x - 6
y = 7x - 6
x = 7y - 6
+ 6 + 6
(x + 6)/7 = 7y/7
(x + 6)/7 = y
(x + 6)/7 = g^-1(x)

Answer 3

@satellite73

Answer 4

@Abhisar