Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
<h3>
Answer: $59.25</h3>
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Explanation:
There are two approaches
Method 1
25% of 79 = 0.25*79 = 19.75
Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25
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Method 2
She saves 25% so she must pay the remaining 75%
75% of 79 = 0.75*79 = 59.25
This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.
Answer: 4(3x +5) or 2(6x +20)
Step-by-step explanation:
Since the radius for either the quarter or the whole circle is the same the radius of the circle shall be divided into 4 parts
Please refer to the photograph to know more about the answer
