The answer is: [C]: " f ⁻¹(x) = (5x + 3) / 2 " .
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Explanation:
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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 " .
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Answer:
Statements Reasons
1. 1. Given
2. 2. Given
3. 3. Base angles theorem.
4. 4. Alternate interior angles.
5. 5. Alternate interior angles.
6. 6. Isosceles triangle theorem.
7. 7. Vertical angles.
8. 8. By SAS postulate.
9. 9. By CPCTC.
10. 10. Sum of adjacent angles.
11. is isosceles 11. Base angles theorem.
3(x+2) = 2(2x+7)
3x + 6 = 4x + 14 (On the left side we distribute 3 through parenthesis and on the right side we do the same with 2)
3x - 4x = 14 - 6 (Here we move 4x from the right to the left side and it changes its sign. We do the same with 6)
-x = 8
x = - 8
Answer:
okay so
it would be: A
but read the step by step explanation !
Step-by-step explanation:
f+8<12
you would rewrite it as
f+8= 12
thats what it practically says
so you would minus 8 from 12 to get A, which is four . its a matter of simple subtraction . it can be confusing with the signs