msiermario msiermario
  • 18-10-2020
  • Mathematics
contestada

Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9

Respuesta :

jimrgrant1 jimrgrant1
  • 18-10-2020

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B

Answer Link

Otras preguntas

how did the Portuguese slave trade start
State all the transformations needed to transform f(x)= 3(x-5)^2 -7 to have a vertex of (-2,4) and also be reflected on the x axis
Why does duffer Mcvolt want lights strung around the golf course
Which properties best describes the coordinate graph of two distinct parallel lines
When she was born, Jubilee's mom tracked her weight each month using the graph below. Determine the equation of the line.
What is the value of DeltaG in a spontaneous reaction
Which sentence is not an example of an effective thesis for an essay comparing two texts about nuclear power in the United States?
What is the graph of the function rule y=-1/2x + 2
Square A has a side length of 12.4 cm. Square B is the resulting image after a scale factor of 3 has been applied to square A. What is the area of Square A?
What is a product of the light reaction? Water NADP ADP oxygen