<u>ANSWER</u>
<u>EXPLANATION</u>
Given 
and
We want to find
This means we substitute the function 
in to another function 
and evaluate.
This implies that;
We expand the parenthesis to obtain;
We simplify further to obtain;
Hence the correct answer is A
<em>The question has missing details. However, general questions that could be asked is as follows:</em>
<em>(1) The number of miles traveled after using (say) 5 gallons</em>
<em>(2) The number of gallons used after traveling for (say) 36 miles</em>
Answer:
See Explanation
Step-by-step explanation:
Given
A linear equation is represented as:
Where
and
c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5
<em>60 miles traveled</em>
Solving (b): s = 36
Collect like terms
Solve for r
<em>42 gallons used</em>
It should be one hundred twenty six (126) if my math is correct
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
Answer:
1. 23x/10
2. 13x/10
Step-by-step explanation:
explanation: find the common denominator and then go from there. i suck at in depth explanations but as long as you get the gist of it youre good
