SOLUTION: How do you solve a function with a power? for example: f(x)=(x+3) to the 3/2 power? the (x+3) also has a squared root above it.

Algebra ->  Functions -> SOLUTION: How do you solve a function with a power? for example: f(x)=(x+3) to the 3/2 power? the (x+3) also has a squared root above it.       Log On


   

Question 830767: How do you solve a function with a power? for example:
f(x)=(x+3) to the 3/2 power?
the (x+3) also has a squared root above it.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean this
+f%28x%29=+%28x%2B3%29%5E%283%2F2%29+, then you have

f%28x%29=sqrt%28%28x%2B3%29%5E3%29

f%28x%29=sqrt%28%28x%2B3%29%5E2%28x%2B3%29%29

f%28x%29=+%28x%2B3%29sqrt%28%28x%2B3%29%29
solutions:
+%28x%2B3%29sqrt%28%28x%2B3%29%29=0
if +%28x%2B3%29=0=> x=-3............one real root
domain:
{ x element R : x%3E=-3 }
range:
{ y element R : y%3E=0 } (all non-negative real numbers)
here is the graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B3%29%5E%283%2F2%29%29+