The function g is defined by g(x)=3x^2+6.
Find g(5y)
Algebra - drwls, Friday, February 4, 2011 at 11:07am
3*(5y)^2 + 6 = __?
Algebra - Janet, Friday, February 4, 2011 at 3:56pm
I get 75y+6
I get
75 y^2 + 6
oh I see what I get. thanks
To find g(5y), we need to substitute 5y into the function g(x) and simplify the expression.
The function g(x) is defined as g(x) = 3x^2 + 6.
So, we replace x with 5y in the function:
g(5y) = 3(5y)^2 + 6
Now we need to simplify this expression.
First, we square 5y:
(5y)^2 = 5y * 5y = 25y^2.
Substituting this back into the function, we get:
g(5y) = 3(25y^2) + 6
Now we simplify further:
g(5y) = 75y^2 + 6.
Thus, g(5y) = 75y^2 + 6.