f (g(x)) =2x2+25x-30 and g(x) = 7x over 45x does anyone get this?

Question

my daugher is in college and needs help with this one and others

Answer 1

if you haven't mistyped anything, then

g(x) = (7x)/(45x) = (7/45)

f(g(x)) = 2x^2 + 25x - 30
f(7/45) = 2(7/45)^2 + 25(7/45) - 30
f(7/45) = 2(49/2025) + (175/45) - 30
f(7/45) = (98/2025) + (175/45) - 30
f(7/45) = (98/2025) + (35/9) - 30
f(7/45) = (98/2025) + (7875/2025) - (60750/2025)
f(7/45) = (98 + 7875 - 60750)/(2025)
f(7/45) = (-52777/2025)

ANS :
f(g(x)) = (-52777/2025)

Answer 2

f(g(x)) means to put the 'g function' inside the 'f function.' So, take g's value and put it in place of the x's in f. This would give you 2(7x/45x)^2 + 25(7x/45x) - 30. Now, simplify each expression. Notice in this problems the x's will 'cancel' giving you a mathematical expression to reduce and simplify.

Answer 3

f(g(x)=2x^2+25x-30
g(x)=7x/45x=7/45
that's as far we can go with the data given

Answer 4

f(g(x)) means that you have to take g(x), and replace f(g(x))'s x variable by that
so for example:

f(g(x)) = 2(7x/45x)^2 + 25(7x/45x) - 30