Answer:
Step-by-step explanation:
The given function is
To find the inverse of this function, we interchange x and y.
we now solve for y.
Take the sine inverse of both sides to obtain;
Hence the inverse of the given function is;
where
Answer:
x<4
Step-by-step explanation:
-2x+20<2x+4
−2x+20−2x<2x+4−2x
−4x+20<4
−4x+20−20<4−20
−4x<−16
−4x/-4<-16/-4
x<4 its a open circle
Answer:
9.
h(x)=-x-1
let y =-x-1
interchanging role of x & y
x=-y-1
y=-x-1
h-¹(x)=-x-1
again
f(x)=(2-3x)/2
let
y=(2-3x)/2
interchanging role of x & y
x=(2-3y)/2
2x-2=-3y
y=(2-2x)/3
f-¹(x)=(2-2x)/3
<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>f</u><u>u</u><u>n</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>n</u><u>o</u><u>t</u><u> </u><u>i</u><u>n</u><u>v</u><u>e</u><u>r</u><u>s</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>e</u><u>a</u><u>c</u><u>h</u><u> </u><u>o</u><u>t</u><u>h</u><u>e</u><u>r</u><u>.</u>
10.
f(x)=-x+3
let y=-x+3
interchanging role of x & y
x=-y+3
y=3-x
f-¹(x)=-x+3
equal to g(x)=-x+3
<u>Given function are</u><u> inverse of each other.</u>
Answer:
a)1400 + 300x ≤ 5000
b) x ≤ 12 days
Step-by-step explanation:
a) Since the grocery store owner wants to stay within budget then, this means he would be spending at most $5,000
The word at most is represented by the inequality sign ≤ = Less than or equal to
Let x = Number of days
Hence,
Our inequality equation is
$1400 + 300× x ≤ $5000
1400 + 300x ≤ 5000
b) Solving for x
1400 + 300x ≤ 5000
300x ≤ 5000 - 1400
300x ≤ 3600
x ≤ 3600/300
x ≤ 12 days