Well you multiply...
3x3.69 is 11.07
15x4 equals 60
add 11.07 and 60, which you should get 71.07
she has had a budget of spending $71.07
I would live to help but i cannot see the wuestion very well.. mind writting it oit in a commet?
Answer: See below
Step-by-step explanation:
1. (fоg)(x) means f of g(x). You would plug in g(x) into f(x).
(fоg)(x)=3(4x²-5)-3
(fоg)(x)=12x²-15-3
(fоg)(x)=12x²-18
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2. (gоf)(x) means g of f(x). You would plug in f(x) into g(x).
(gоf)(x)=4(3x-3)²-5
(gоf)(x)=4(9x²-18x+9)-5
(gоf)(x)=36x²-72x+36-5
(gоf)(x)=36x²-72x+31
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3. (fоg)(0) means f of g(0). You would plug in g(0) into f(x).
(fоg)(0)=3(-5)-3
(fоg)(0)=-15-3
(fоg)(0)=-18
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4. (gоf)(0) means g of f(0). You would plug in f(0) into g(x).
(gоf)(0)=4(-3)²-5
(gоf)(0)=4(9)-5
(gоf)(0)=36-5
(gоf)(0)=31
0.3×8=2.4
1.5×3=4.5
(2.4+4.5)+36=42.9
g(x):
flip f(x) over x-axist and next translate 2 units down.
Look at the picture.
<h3>Therefore your answer is: B. g(x) = -x² - 2</h3>
Translations
y = f (x) + m up m units
y = f (x) - m down m units
y = f (x + m) left m units
y = f (x - m) right m units
Stretches/Shrinks
y = n · f (x) stretch vertically by a factor of n
y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)
y = f (1/n x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x