Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
#teamtrees #WAP (Water And Plant)
Answer:
Hello :)
Step-by-step explanation:
1. a
2. None
3. c
4. b
Hope this helps :)
We are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d = sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w sqrt (169 + w4)
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
