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goblinko [34]
3 years ago
8

Given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9

Mathematics
1 answer:
uysha [10]3 years ago
3 0

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}}} }}

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Oksi-84 [34.3K]

Answer: (a) When he turns 68 , the account will have = $1,179,415.39

(b) $ 288,000

Step-by-step explanation:

Formula: Future value of annuity =P[\dfrac{(1+r)^n-1}{r}], where P+ periodic payment, r = rate of interest per period, n= number of periods.

As per given, we have

P= $1800

rate of interest = 6% = 0.06

(a) n= 68-28 = 40

Rate per period : r= \dfrac{0.06}{4}=0.015  

Number of periods: n = 4x 40 =160

Now, Future value of amount when Mr. Pink turns 28 years = 1800(\dfrac{(1+0.015)^{160}-1}{0.015})

=1800(\dfrac{10.8284615777-1}{0.015})\\\\=1800\times\dfrac{9.8284615777}{0.015}\\\\\approx\$1179415.39

Hence, when he turns 68 , the account will have = $1,179,415.39

(b) Total contribution = P × n

=1800 × 160

=$ 288,000

Hence, Total contribution =$ 288,000

5 0
3 years ago
Anyone please help me, deadline is tomorrow.༎ຶ‿༎ຶ wahhhhhhhh huhuhu​
-BARSIC- [3]

mean is average, add all numbers and divide by quantity of numbers.

Median is the middle value, list the numbers from smallest to largest and find the middle number.


mode is the number that appears the most.


1. Mean = 6

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8 0
1 year ago
2. Graph the inverse of the function, then determine if the inverse is a function.
charle [14.2K]

The inverse of the function f(x)= x^2 is a function.

<h3>The graph of the inverse</h3>

The equation of the function is

f(x)= x^2

Rewrite as:

y = x^2

Swap x and y

x = y^2

Make y the subject

y = \sqrt x

Rewrite as:

f^{-1}(x) = \sqrt x

So, the inverse of f(x)= x^2 is f^{-1}(x) = \sqrt x

See attachment for the graph

<h3>Is the inverse a function?</h3>

The inverse is a function.

This is so because it passes the vertical line test

Read more about inverse functions at:

brainly.com/question/2883051

#SPJ1

5 0
1 year ago
SOLVE 3(2 x-1)= 4 X+2
Tanya [424]
So, for this, "x" can equal 5/2 which is fraction form, OR it can be decimal form, which would be 2.5

I hope this helps!
3 0
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20 PTS<br> If a new car payment is $616.67 each month, what is the total car payment for one year?
vitfil [10]

Answer:

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Step-by-step explanation:

Well, if one month is 616.67, then one year is just 12 months. Multiply 6l6.67 by 12, and the answer is 7400.04

8 0
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