Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Answer:
-22
Step-by-step explanation:
4 + 9 + (16 ÷ 4 - 8 - 3) × 5
= 13 + (4 - 8 - 3) × 5
= 13 - 7 × 5
= 13 - 35
= -22
The factored form would be (3x-9)(x-1)
The picture should help a bit
Answer: B (x = 4)
- x = 2 - 3x + 6 combine like terms
- x = -3x + 8 add 3x
2x = 8 divide by 2
x = 4