A function assigns the values. The inverse of the function is y = (x+5)/2.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of the function, the function is needed to be solved for x, and then replace x with y and vice versa. Therefore, the inverse of the function will be,
f(x) = y = 2x - 5
y = 2x - 5
y + 5 = 2x
x = (y+5)/2
y = (x+5)/2
Hence, the inverse of the function is y = (x+5)/2.
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So you plug in g(x) for x in h(x)
Since g(x) = 4x + 9, substitution that in
4x + 9 + 2
4x + 11
Solution: 4x + 11
Answer:
y = -5
Step-by-step explanation:
y = x / 2
For x = -10
Plug -10 into the equation
y = -10/2
y = -5
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For the remaining values
x y
0 0
4 2
10 5
Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.
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Explanation:
If we could show that KL = c, then we can tie together the following pairs of segments
- EG = KM = a
- GF = ML = b
- EF = KL = c
Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.
Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.
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Notes:
- SSS = side side side
- CPCTC = corresponding parts of congruent triangles are congruent
