The answer is: [C]: " f ⁻¹(x) = (5x + 3) / 2 " .
______________________________________________________
Explanation:
______________________________________________________
Given: "f(x) = (2x - 3) / 5 ; which is the "inverse" of: " f(x)" ?
Substitute "y" for "f(x)" :
y = (2x - 3) / 5 ;
Replace "x" with "y"; and "y" with "x" ; and rewrite:
x = (2y - 3) / 5 ;
Now, solve for "y" , in term of "x' ;
Multiply each side of the equation by "5"
5 * x = 5 * { (2y - 3) / 5 } ;
to get:
5x = 2y - 3 ;
Add "3" to each side of the equation:
5x + 3 = 2y - 3 + 3 ;
to get: 5x + 3 = 2y ;
↔ 2y = 5x + 3 ;
Divide each side of the question by "2" ;
to isolate "y" on one side of the equation; & to solve for "y" in terms of "x" ;
→ 2y / 2 = (5x + 3) / 2 ;
to get: y = (5x + 3) / 2 ;
Replace the "y" with: " f ⁻¹(x) " ;
and rewrite:
" f ⁻¹(x) = (5x + 3) / 2 " ;
→ which is: "Answer choice: [C]: " f ⁻¹(x) = (5x + 3) / 2 " .
__________________________________________________
8x - 3 =5(2x + 1)
30) 8x - 3 = 10x + 5 ..............G. Distributive property
31) -2x - 3 = 5 ........................A. Subtraction property
32) -2x = 8..............................B. Addition property
33) x = -4................................F. Division property
34)
3x^3 -5x^2 - 13x + 3 by x - 3
answer
D. 3x^2 + 4x - 1
35)
(0, 1) and (1, 0)
answer is
y = |x - 1|
The age of Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.
<h3>What is an Equation ?</h3>
An equation is a statement that contains algebraic expressions equated by an equal sign with constants or other variables.
Let the age of Kwaku is x
Let the age of Esi is y
From the given data
The age of Kojo is 2y
y = x +5
Sum of their age = 47
2y = 2x +10
therefore the equation formed is
x + y +2y = 47
x + x+5 + 2x +10 = 47
4x +15 = 47
4x = 32
x = 8
y = 13
2y = 26
Therefore Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.
To know more about Equation
brainly.com/question/10413253
#SPJ1
Answer:
Hello,
Step-by-step explanation:
Answer:
what is the ?
Step-by-step explanation: