Question

If g(x) = 3x + 5, what is g–1(x)?

a. (x-5)/ 3
b. (x+5)/3
c. (x+3)/5
d. (x - 3) /5

Confused... help....

Answer 1

It'd be the inverse of g(x). Do you know about inverses?

Answer 2

im not sure... in fraction?

Answer 3

See, the inverse of adding is subtracting. The inverse of multiplying is dividing.

Answer 4

ok.. what is the inverse of g(x)?

Answer 5

You'd subtract 5 and divide by 3.

Answer 6

I would say A because if you solve for x you will get [g(x) - 5]/3 = x. Switching the g(x) with the x will give you the inverse: g^-1(x) = (x-5)/3

Answer 7

divide what by three?

Answer 8

Exactly. The inverse is: (x - 5)/3