SOLUTION: Determine the equation for h(x), where {{{ h(x) = f*g*k }}} {{{ f(x)=sqrt (x) -2 }}} {{{ g(x)=2(x^2+1)-1 }}} {{{ k(x)=x+4 }}} Thank you,

Algebra ->  Functions -> SOLUTION: Determine the equation for h(x), where {{{ h(x) = f*g*k }}} {{{ f(x)=sqrt (x) -2 }}} {{{ g(x)=2(x^2+1)-1 }}} {{{ k(x)=x+4 }}} Thank you,      Log On


   

Question 950001: Determine the equation for h(x), where +h%28x%29+=+f%2Ag%2Ak+
++f%28x%29=sqrt+%28x%29+-2+
++g%28x%29=2%28x%5E2%2B1%29-1+
++k%28x%29=x%2B4+
Thank you,
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation for h%28x%29, where +h%28x%29+=+f%2Ag%2Ak+
++f%28x%29=sqrt+%28x%29+-2+
++g%28x%29=2%28x%5E2%2B1%29-1+
++k%28x%29=x%2B4+

+h%28x%29+=+f%2Ag%2Ak+
+h%28x%29+=+%28sqrt%28x%29+-2+%29%2A%282%28x%5E2%2B1%29-1%29%2A%28x%2B4%29+
+h%28x%29+=+%28sqrt%28x%29+-2+%29%2A%282x%5E2%2B2-1%29%2A%28x%2B4%29+
+h%28x%29+=+%28sqrt%28x%29+-2+%29%2A%282x%5E2%2B1%29%2A%28x%2B4%29+
+h%28x%29+=+%28sqrt%28x%29+-2+%29%2A%282x%5E3%2Bx%2B8x%5E2%2B4%29+ ...this is best solution
if we continue we will arrive to same solution:

+h%28x%29+=+sqrt%28x%29%282x%5E3%2Bx%2B8x%5E2%2B4%29-2%282x%5E3%2Bx%2B8x%5E2%2B4%29+



factor
+h%28x%29+=+%28sqrt%28x%29-2%29%282x%5E3%2B8x%5E2%2Bx%2B4%29+ ...so, it is same