Answer:
4x + 4
Step-by-step explanation:
F(x) = 2x - 1
G(x) = 3x + 2
H(x) = x²
We have to calculate the expression F(G(x)) - F(x)
F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,
F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3
Thus,
F(G(x)) - F(x) = 6x + 3 - (2x - 1)
= 6x + 3 -2x + 1
= 4x + 4
Therefore, the expression F(G(x)) - F(x) equals 4x + 4
The expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)
<h3>How to use the GCF and the Distributive Property to express the sum as a product?</h3>
The expression is given as:
30 + 10
Express the terms of the expression as the product of their GCF.
So, we have:
30 + 10 = 3 * 10 + 1 * 10
Factor out 10
30 + 10 = 10(3 + 1)
Hence, the expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)
Read more about Distributive Property at
brainly.com/question/4077386
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You can use this to help you.https://www.symbolab.com/
I might be wrong but it might be 62
