The inverse function of the given function y = x² + 4 will be y = √(x - 4).
<h3>What is the inverse function?</h3>
Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by swapping x with y and y with x.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
y = x² + 4
The inverse function of the function y = x² + 4 is given as,
Replace x with y and y with x, then we have
x = y² + 4
Solve the equation for y, then the equation is rewritten as,
x = y² + 4
y² = x - 4
y = √(x - 4)
The inverse function of the given function y = x² + 4 will be y = √(x - 4).
More about the inverse function is given below.
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Answer:
D.) 0.9990
Step-by-step explanation:
Given :
Number of questions = 10
True or False questions ; probability of success, p = 1/2 = 0.5
Using binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of getting atleast one correct answer :
P(x ≥ 1) = p(1) + p(2) +... P(x = 10)
Using a binomial probability calculator :
P(x ≥ 1) = 0.9990
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
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P is a letter and 23 is a number
Answer:
x = 12
Step-by-step explanation:
Vertical angles are congruent, so ...
4x = 48°
x = 12° . . . . . . divide by 4