SOLUTION: For the given functions f and g, find the requested function and state its domain. f(x) = 3x + 5; g(x) = 7x + 8 Find f ∙ g.

Algebra ->  Functions -> SOLUTION: For the given functions f and g, find the requested function and state its domain. f(x) = 3x + 5; g(x) = 7x + 8 Find f ∙ g.       Log On


   

Question 824344: For the given functions f and g, find the requested function and state its domain.
f(x) = 3x + 5; g(x) = 7x + 8
Find f ∙ g.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For the given functions f and g, find the requested function and state its domain.
f(x) = 3x + 5; g(x) = 7x + 8
Find f · g.

f * g = f(x)*g(x)

f * g = (3x+5)*(7x+8)

f * g = 3x(7x+8)+5(7x+8)

f * g = 21x^2+24x+35x+40

f * g = 21x^2+59x+40

Domain of f * g is the set of all real numbers.