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Nookie1986 [14]
3 years ago
6

Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

B. f−1(x) = The quantity of 4x plus 3, divided by 5

Step-by-step explanation:

Given

f(x) = \frac{5x-3}{4}

We have to find the inverse of the function

Let\\f(x) = y\\y=\frac{5x-3}{4}\\4y=5x-3\\4y+3=5x\\\frac{4y+3}{5} =y

So, the inverse of f(x) is:

\frac{4y+3}{5}

Hence,

The correct answer is:

<u>B. f−1(x) = The quantity of 4x plus 3, divided by 5 ..</u>

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Uma função f é dada por f(x) = ax + b, em que a e b são números reais. Se f(–1) = 3 e f(1) = –1, determine o valor de f(3).
ale4655 [162]
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Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.


f(-1) = 3

a(-1) + b = 3

f(1) = -1

a(1) + b = -1

O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao. 
A variavel a e eliminada.



-a + b = 3
a + b = -1

2b = 2

b = 1

a + 1 = -1

a = -2

Agora sabemos the a = -2 e b = 1.
Escrevemos a funcao f usando os valores the a e b calculados..



f(x) = -2x + 1

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f(3) = -5
6 0
3 years ago
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