For f(x)=2-x and g(x)=4x^2+x+6, find (f×g)(x)
1 answer:
Answer:
Our composed function is .
Step-by-step explanation:
We are given two separate functions:
We need to find the composition of . This is literally stating "f of g of x."
Therefore, we simply plug g(x) into f(x) and solve. We replace the x-value in the f(x) function with the entirety of the g(x) function and simplify.
Our composed function is .
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Answer:
B
Step-by-step explanation:
We see that the line intersects the y-axis at -1. As a result, we need to choose an equation with -1, either B or C. We see that the different is the slope. For choice B, the slope is , meaning that every unit up equates to 3 blocks to the right. Counting along the line, we see that this is correct.
Answer:
Domain = ( -∞,∞), {x|x ∈ R}
Range (-∞,2], {y|y ≤ 2}
Vertex (h,k) = (6,2)
Step-by-step explanation:
(Domain / Range) The absolute value expression has a V shape. The range of a negative absolute value expression starts at its vertex and extends to negative infinity.
(Vertex) To find the x coordinate of the vertex, set the inside of the absolute value
x − 6 equal to 0 . In this case, x − 6 = 0 .
x−6=0
Add 6 to both sides of the equation.
x=6
Replace the variable x with 6 in the expression.
y=−1/3⋅|(6)−6|+2
Simplify−1/3⋅|(6)−6|+2.
y=2
The absolute value vertex is ( 6 , 2 ) .
(6,2)
Hope this helps
