+99 Guy I'm in serious need for help. I seriously don't know how to do f^-1(x) and all that.
f(x) = x - 3 and g(x) = 2x + 1 find g(f^-1 (2))
I want steps please. There are many other problems like this so I need to understand the rules and basics.
Thankyou <3
+129899 f(x) = x - 3 and g(x) = 2x + 1 find g(f^-1 (2))
We need to find the inverse function for f
f(x) = x - 3 let f(x) = y
y = x - 3 add 3 to both sides
y + 3 = x switch x and y
x + 3 = y and, for y, write f-1(x)
f-1(x) = x + 3
So
f-1 (2) = -2 + 3 = 1
So
g ( f-1(2) ) = g (1) = 2(1) + 1 = 3
+129899 f(x) = x - 3 and g(x) = 2x + 1 find g(f^-1 (2))
We need to find the inverse function for f
f(x) = x - 3 let f(x) = y
y = x - 3 add 3 to both sides
y + 3 = x switch x and y
x + 3 = y and, for y, write f-1(x)
f-1(x) = x + 3
So
f-1 (2) = -2 + 3 = 1
So
g ( f-1(2) ) = g (1) = 2(1) + 1 = 3
