Answer: <span><span>the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.</span>
Explanation:
Taking (g•f)(x) as (g o f) (x), this is g (x) composed with f(x) you have this analysis.
(g o f) (x) is g [ f(x) ], which means that you first apply the function f and then apply the function g to the output of f(x).
The domain of g [ f(x) ] has to exclude 7, because it is not included in the domain of f(x).
Also the domain thas to exclude those values of x for which f(x) is - 3, because the domain of g(x) is the set of all real values except - 3.
So, the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.
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Answer:
x>4
Step-by-step explanation:
Solving an inequality is very similar to solving an equation:
Given: 7x-6>22
Add 6 to both sides: 7x>28
Divide both side by 7: x>4
x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.
Answer:
Man has 9 Nickels and 7 dimes.
Step-by-step explanation:
Let Number of dimes be x
and Number of Nickels be y
As Per given data he has two more nickels than dimes.
As we know that
1
= 100 cent
1 nickel is worth = 5 cents = 
= 0.05
1 dime is worth = 10 cents = 
0 .1
According to given data he has 
total nickel and dimes
So the equation becomes,
but 
Substituting value of x in equation 
we get
Man has 9 Nickels and 7 dimes.
Step-by-step explanation:
2x-5÷3x+4
multiple and dive the angles
Answer:
9. 64+16n+n^2
10. x^2-121
11. 40b^2-45b+5
12. x^2+6x+9
Step-by-step explanation:
9. Use FOIL(multiply first terms in both polynomials, then the outer terms, then the inner terms and finally the last terms adding them together). You get 8^2+8n+8n+n^2, which is 64+16n+n^2.
10. This one is a special equation. If (a-b)(a+b), then the answer will be a^2-b^2. Plug in your values, and you get x^2-121.
11. Use FOIL again, getting 40b^2-45b+5.
12. And FOIL again, getting x^2+6x+9.
