#Given f(x) = 5x+2

14 messages · Page 1 of 1 (latest)

hot elm
#

I don't understand how they got this. This is inverse of a function btw

#

Given f(x) 5x+2

sharp temple
#

f(x) = 5x + 2 ??

#

well its easy

hot elm
sharp temple
#

but wait what do we have to find?

hot elm
#

The inverse

sharp temple
#

okay

#

so f ^(-1) [-1] = x
f(x) = -1
5x + 2 = -1
x = -3/5

novel onyx
#

To find an inverse, swap x and y then solve for y again

#

Then you can plug in your x value you want, in this case -1

pallid wagon
# hot elm Given f(x) 5x+2

a trick to find the inverse of functions with only one x variable is to reverse both the flow and operators, in your case it's 5x+2, which means:

  1. Multiply x by 5
  2. Add 2 to the result
    To find the inverse:
  3. Subtract x by 2
  4. Divide the result by 5
    Hence f^-1(x) = (x-2)/5
hot elm