Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7 ;
we want to find f(g(x))
This is simply a composite function which involves fixing the function g(x) into f(x)
Thus, we have
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
Answer:
false
Step-by-step explanation:
1-2cos²r=1-2(1-sin²r)=1-2+2sin²r=2sin²r-1
Answer:
Part 41) The solution of the compound inequality is equal to the interval [-1.5,-0.5)
Part 45) The solution of the compound inequality is equal to the interval
(-∞, -0.5] ∪ [1,∞)
Step-by-step explanation:
Part 41) we have
Divide the compound inequality into two inequalities
-----> inequality A
Solve for x
Subtract 2 both sides
Divide by 4 both sides
Rewrite
The solution of the inequality A is the interval -----> [-1.5,∞)
-----> inequality B
Solve for x
Subtract 2 both sides
Divide by 4 both sides
The solution of the inequality B is the interval ------> (-∞, -0.5)
The solution of the inequality A and the Inequality B is equal to
[-1.5,∞)∩ (-∞, -0.5)------> [-1.5,-0.5)
see the attached figure N 1
Part 45) we have
or
Solve the inequality A
Adds 3 both sides
Divide by 2 both sides
The solution of the inequality A is the interval ------> (-∞, -0.5]
Solve the inequality B
Subtract 1 both sides
Divide by 3 both sides
The solution of the inequality B is the interval -----> [1,∞)
The solution of the compound inequality is equal to
(-∞, -0.5] ∪ [1,∞)
see the attached figure N 2
The first thing we are going to do for this case is to rewrite the expression.
We have then:
-48xyz - 24xy + 40xyz
The common factor is a term that is present in all terms of a given expression.
The following expressions are common factor:
4
8y
2xy
Answer:
A. 4
D. 8y
E. 2xy