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:
3y+x
Step-by-step explanation:
commutative property :
a+b=b+a
Similarly:
x+3y=3y+x
<h3>
Answer: b = 17</h3>
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Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
Answer:
Step-by-step explanation:
Let a , b , c & d be the no. of chairs in hall A , B , C & D respectively.
Given,
b = 4a
c = a + 15
d = a + 8 + 4a = 5a + 8
Now,
Total no. of chairs (T) = a + b + c + d
= a + 4a + a + 15 + 5a + 8
= 11a + 23
Now,
Average chairs in each hall (Avg) = T/4
= (11a + 23)/4
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3