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xxTIMURxx [149]
3 years ago
14

A formula for a function y=f(x) is f(x)=x^2-10x,xless than or equal 5. Find f^-1(x) and indentify the domain and range of f^-1(x

). Is f(f^-1(x)))=f^-1(f(x))=x?
Mathematics
1 answer:
evablogger [386]3 years ago
6 0
F(x) =x² - 10x,  f⁻¹(x) =?

1st find the missing square of x²-10x, ==> (x-5)² - 25

y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5

Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}

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zaharov [31]
It's hard to explain by words so sorry if you don't understand. For the graphing part, starting from (-3, 0), plot points in (1, 2), (6, 3), and connect them. The end of a line should be (10, 3.5). You will understand better if you use graphing calculator.

The answer of a second question is {x|x is greater or equal to -3.
7 0
3 years ago
Tyree bought a collectible comic book for $49.62 last year. this year, he sold it for $52.10. find the percent of change of the
lidiya [134]
52.10-49.62=2.48
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3 0
3 years ago
Para alavancar seus lucros, o dono de uma empresa passou a investir mais no meio digital, começando pelo seu site. Com base em u
ella [17]

Answer:

85.5 reals

Step-by-step explanation:

Aqui, usando a função de análise, queremos saber a quantidade de dinheiro que deve ser investido para fornecer o número de visualizações.

A maneira como podemos resolver isso é através da substituição. Precisamos apenas substituir F (x) na equação e resolver x, o que nos dará a idéia da quantidade de dinheiro a ser investido.

matematicamente

F (x) = 40x + 80

3500 = 40x + 80

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8 0
3 years ago
. (06.01)
Scorpion4ik [409]
3 + (2 + 8)^2 / 4 * (1/2)^4
3 + 10^2 / 4 * (1/2)^4
3 + 100/4 * (1/2)^4
3 + 25 * 1/16
3 + 25/16
48/16 + 25/16
73/16
4 9/16 <==
3 0
3 years ago
F(x) = 2x2 - 4x?; Find (-4)
anastassius [24]

Answer:

0 (zero)

Step-by-step explanation:

Plug in the variable for -4 and solve

y= 2(-4)2-4(-4)

y= -8(2)-4(-4)

y=-16+16

y=0

4 0
3 years ago
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