Note: a² - b² = (a-b)(a+b)
9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)
Given:
for x=-4 and x=4, find value of f(x) if f(x) is piecewise defined as follows:
f(x)=x² if x≤-4, and ..........(1)
f(x)=sqrt(x) if x>1...............................(2)
f(-4)=x ² =(-4)^2= +4*4=+16 [ from (1) ]
f(4)=sqrt(x) =sqrt(4) = 2 [ from (2) ]
−
1
0
3
+
2
3
2
−
2
4
+
1
8
i think-
Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x
so
f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3

=x
replace with f⁻¹(x)
f⁻¹(x)=
Answer:
x=(-9)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(−2/3)(9+x)=0
(−2/3)(9)+(−2/3)(x)=0(Distribute)
−6+−2/3x=0
−2/3x−6=0
Step 2: Add 6 to both sides.
−2/3x−6+6=0+6
−2/3x=6
Step 3: Multiply both sides by 3/(-2).
(3−2)*(−2/3x)=(3−2)*(6)
x=−9