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
y = -2x - 9 ----------- 1
y = 3x + 1 -------------- 2
Step 1
Substitute y from equation 1 to equation 2.
y = -2x - 9
3x + 1 = -2x - 9
Step 2
Collect like terms
3x + 2x = - 9 - 1
5x = -10
Step 3
Divide through by 5
x = -10/5
x = -2
Step 4
Substitute x in equation 2 to find y.
y = 3x + 1
y = 3(-2) + 1
y = -6 + 1
y = -5
So the solution is (-2, -5)
