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NISA [10]
3 years ago
9

Find f(x) and g(x) so that the function can be described as y=f(g(x)) y=(9/x^2)+2

Mathematics
1 answer:
eduard3 years ago
6 0

there are many combinations for it, but we can settle for say


\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2

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The solution of a system of equations with no solution describes what kind of lines?
nadya68 [22]

Answer:

parallel

Step-by-step explanation:

The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines

3 0
2 years ago
Explain how to find simple interest
mr_godi [17]

Answer:

Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.

Step-by-step explanation:

Principal x rate x time = interest.

$100 x .05 x 1 = $5 simple interest for one year.

$100 x .05 x 3 = $15 simple interest for three years.

7 0
3 years ago
Read 2 more answers
Graph function y=x+1
fiasKO [112]

Answer:

Are u asking to graph a point(s)?

Step-by-step explanation:

Ok I have the answer

3 0
3 years ago
Find the minimum or maximum value of the function g(x)= -(x-2)^2-3
Nady [450]
Neato

assuming you mean
g(x)=-1(x-2)^2-3
remember
in form
f(x)=a(x-h)^2+k
a is leading coficient
(h,k) is vertex
k will be the minimum or max value of the function
if a is positive, then the parabola opens up and k is minimum
if a is negative, then the parabola opens down and k is max

given
g(x)=-1(x-2)^2-3
a is negative
the parabola opens down and k is the max value
it is -3
the max value is -3, which occors at x=2
g(2)=-3 is max
3 0
3 years ago
The sum of an integer and 6 times the next consecutive odd integer is 61. Find the
vfiekz [6]

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Learn more about equation here

brainly.com/question/28741857

#SPJ1

4 0
1 year ago
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