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user100 [1]
3 years ago
11

Which function below is the inverse of f(x) = The quantity of three x plus five, over seven?

Mathematics
2 answers:
Nastasia [14]3 years ago
5 0
Given function: f(x) = (3x+5)/7

y = f(x) so it's the same as y = (3x+5)/7

Swap every copy of x and y to get x = (3y+5)/7

Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3

So the inverse function is f^(-1)(x) = (7x-5)/3

Answer is choice A


8090 [49]3 years ago
4 0

Answer:

Option A. f−1(x) = The quantity of seven x minus five, over three

Step-by-step explanation:

we know that

The given function is equal to

f(x) = (3x+5)/7

Let

y=f(x)

y= (3x+5)/7

step 1

Exchange the variables x for y and y for x

x= (3y+5)/7

step 2

Isolate the variable y

7x= (3y+5)

3y=7x-5

y=(7x-5)/3

Let

f^{-1}(x)=y

f^{-1}(x)=(7x-5)/3

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