Answer:
When f(x)= 3x – 1 and g(x) = 7x + 6,
f(g(x)) = 21x + 17
and
g(f(x)) = 21x - 1
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = 7x + 6
To find f(g(x)), substitute the value of g(x) into f(x).
f(g(x)) = f(7x + 6)
Substitute variable.
f(7x + 6) = 3(7x + 6) - 1
Distribute the 3 inside the parenthesis.
f(7x + 6) = 21x + 18 - 1
Subtract 1 from 18.
f(7x + 6) = 21x + 17
Therefore, f(g(x)) is 21x + 17.
To find g(f(x)), substitute the value of f(x) into g(x).
g(f(x)) = g(3x - 1)
Substitute variable.
g(3x - 1) = 7(3x - 1) + 6
Distribute the 7 inside the parenthesis.
g(3x - 1) = 21x - 7 + 6
Add 6 to -7.
g(3x - 1) = 21x - 1
Therefore, g(f(x)) is 21x - 1.
Answer:
ll available yellow and red flowers at the two businesses
Population: all available flowers at the two businesses
Step-by-step explanation:
Answer:
0.16/8.5
Step-by-step explanation:
so to get the slope use (Y2-Y1) over (X2-X1)
this means that the formula is
1/2-1/3
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25.5- 17
Answer:
y - 5 = -3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Plug in the point and the slope:
y - y1 = m(x - x1)
y - 5 = -3(x - 12)
So, y - 5 = -3(x - 12) is the equation in point slope form of the line.
Answer:
3
Step-by-step explanation:
Flower = $3 each
Pot = $3 each
