QUESTION 1
Given that:
,
,
and
Then;
Group similar terms;
Simplify;
QUESTION 2
Given that;
.
and
Substitute the functions;
Substitute x=3
QUESTION 3
Given:
This implies that;
Expand the parenthesis;
QUESTION 4
The given function is;
Let
The range is:
The interval notation is;
YES
We can work out the inverse using Algebra. Put "y" for "f(x)" and solve for x:
<span><span>The function: f(x)=2x+3
</span><span>Put "y" for "f(x)": y=2x+3
</span><span>Subtract 3 from both sides:
y-3=2x
</span><span>Divide both sides by 2:
(y-3)/2=x
</span><span>Swap sides: x=(y-3)/2</span><span>
</span><span><span>Solution (put "f-1(y)" for "x") :</span> <span>f-1(y)</span>=(y-3)/2</span></span>
Answer:
Number of year(n) = 3.4 year (Approx)
Step-by-step explanation:
Given:
Purchase value of car = $27,000
Depreciation rate per year (d) = 18% = 0.18
Future price = half of its original value = $27,000 / 2 = $13,500
Find:
Number of year(n) = ?
Computation:
Number of year(n) = 3.4 year (Approx)
1.54 because 1.5 is the same thing as 1.50
Funciton form is f(x)=something
basicallly know that f(x) is the output or y
just solve for y
-3x-6y=0
add 3x to both sides
-6y=3x
divide both sides by -6
y=-1/2x
f(x)=(-1/2)x
