SOLUTION: Please help me solve these functions:
Find formulas for (f o g)(x) if
f(x)= {1, if x<0: 2x^2, if 0≤x≤1: 1, if x>1}
and
g(x)={ 2, if x<0: 3x, if 0≤x
Algebra.Com
Question 959920: Please help me solve these functions:
Find formulas for (f o g)(x) if
f(x)= {1, if x<0: 2x^2, if 0≤x≤1: 1, if x>1}
and
g(x)={ 2, if x<0: 3x, if 0≤x≤1: 2, if x>1}
Thanks in advance :).
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Note that (f o g)(x) = f(g(x)) and f(x) and g(x) have the same range
*******************
if x < 0, (f o g)(x) = f(2) = 1
if 0 ≤ x ≤1, (f o g)(x) = f(3x) = 2(3x)^2 = 18x^2
if x > 1, (f o g)(x) = f(2) = 1
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