Will someone please solve the following composite function for g(x):
g[f(x)] = x-1; given f(x) = sqrt(x+2)
I believe the answer is (x^2) - 3, but I cannot remember how to solve using basic algebra.
Ok then, for the following composite function f[g(x)] = [(x^4)+(x^2)]/[1+(x^2)]; given g(x) = 1 - (x^2):
How would you solve for f(x) using "pattern recognition"? I am certain there is an appropriate method to solve using algebra because I remember learning it back in the 8th grade, but as the saying goes, "if you don't use it, you lose it."
Thank you again,
here i get
again, recognizing patterns:
note that we have
for , take the negative and add 1, hence you get
for , take the negative and add 2, hence