Let f(x)-5x+3 and g(x)=6x-2 find the f x g and it's domain
To find the product of two functions, f(x) and g(x), we need to multiply the two functions together. In this case, we have f(x) = 5x + 3 and g(x) = 6x - 2.
To perform the multiplication, we multiply each term of f(x) by each term of g(x):
f(x) * g(x) = (5x + 3) * (6x - 2)
Using the distributive property, we multiply each term of f(x) by each term of g(x):
f(x) * g(x) = 5x * 6x + 5x * (-2) + 3 * 6x + 3 * (-2)
f(x) * g(x) = 30x^2 - 10x + 18x - 6
Combining like terms, we simplify the expression:
f(x) * g(x) = 30x^2 + 8x - 6
Therefore, the product of f(x) and g(x) is 30x^2 + 8x - 6.
To find the domain of the product, we need to consider any restrictions or limitations on the variables. In this case, there are no restrictions on x for either f(x) or g(x). Therefore, the domain of the product f(x) * g(x) is all real numbers, or (-∞, +∞).
f(x)=5x+3
g(x)=6x-2
fxg(x)= (5x+3)(6x-2)
Expand and simplify.
The domain of a polynomial is (-∞,∞)