Answer:
it's = 0
you have to use the steps of maths
- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
brainly.com/question/6561461
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<h3>
Answer:</h3>
2x^2 -5x -2
<h3>
Step-by-step explanation:</h3>
See the attached for the polynomial long division.
Answer:
792
Step-by-step explanation:
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
