SOLUTION: If f(x) = 4x - 2 and g(x) = 3x. What is f(g(2))? I got 22 Evaluate t(y) = y3 + 64 if y = -4. If f(x) = x - 2, for what value of x does f (3x) = f(x+1)? I got 6

Algebra ->  Functions -> SOLUTION: If f(x) = 4x - 2 and g(x) = 3x. What is f(g(2))? I got 22 Evaluate t(y) = y3 + 64 if y = -4. If f(x) = x - 2, for what value of x does f (3x) = f(x+1)? I got 6      Log On


   

Question 321999:
If f(x) = 4x - 2 and g(x) = 3x. What is f(g(2))? I got 22
Evaluate t(y) = y3 + 64 if y = -4.
If f(x) = x - 2, for what value of x does f (3x) = f(x+1)? I got 6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x) = 4x - 2 and g(x) = 3x. What is f(g(2))? I got 22
g%28x%29=3x
g%282%29=3%282%29=6
f%28x%29=4x-2
f%28g%282%29%29=f%286%29=4%286%29-2=24-2=22
Yes, that's correct.
.
.
.
t%28y%29+=+y%5E3+%2B+64
t%28-4%29=%28-4%29%5E3%2B64=-64%2B64=0
.
.
.
f%28x%29+=+x-2
f%28x%2B1%29=%28x%2B1%29-2=x-1
f%283x%29=3x-2
Find x when
x-1=3x-2
2x=1
x=1%2F2
.
.
.
Verifying the solution.
f%28x%2B1%29=f%281%2F2%2B1%29=f%283%2F2%29
f%283x%29=f%283%281%2F2%29%29=f%283%2F2%29
So
f%28x%2B1%29=f%283x%29