If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
Answer:
108 children were drinking apple juice. $432 were spent on pizza.
Step-by-step explanation:
How many children were drinking apple juice:
567 - 323 - 136 = 108
How many children were eating pizza:
108 * 2 = 216
How much was spent on pizza:
216 * $2 = $432
Whenever you reflect a point over the x axis, the x coordinate stays the same and the y coordinate is negated. In this case, the y coordinate which is 3 will be negated to become -3, and the x coordinate which is -5 will remain the same. Therefore, the new point is (-5,-3).
I hope this helps.
The following problem could be expresses as
c=1/3b or 3c=b
Purple line: axis of symmetry
Orange curve: parabola
Black dots: zero, x intercept, asymptote
Red dot: minimum, maximum, dilation
