For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x) = square root 3x + 5, g(x) = square root25x - 16
Find (fg)(x).

Question

For the pair of functions, find the indicated sum, difference, product, or quotient.
 f(x) =  square root 3x + 5, g(x) = square root25x - 16
Find (fg)(x).

anonymous · Answer

$$f[x]=\sqrt{3 x+1} , g[x]=\sqrt{25x-16}  \text{  ?} $$

anonymous · Answer

Sorry,$$f[x]=\sqrt{3 x+5}\text{  }? $$

anonymous · Answer

A Mathematica solution with comments is attached.

anonymous · Answer

u cant just multiply f(x) & g(x) coz if 3x+1 & 25x-16 are negative...there r two conditions-1)f & g r both positive  multiply directly ,that wud be first answer and 2) in the second condition put sq(3x+1)=X1+Yi & sq(25x-16)=X2+Y2i,insert this value and find the second solution

anonymous · Answer

I took the radical signs as positive as you see.  I don't see where any equations are involved here.  could you go ahead with your own solution.

Thank you.

anonymous · Answer

thank u