sanafaruqhalabja
sanafaruqhalabja sanafaruqhalabja
  • 22-03-2022
  • Mathematics
contestada

The y-intercept of g(x)=3/5f(5x) is 15.
Which of the following is the y-intercept of f(x) ?
A/ 3
B/9
C/25
D/75

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-03-2022

Answer:

  C)  25

Step-by-step explanation:

A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).

Here, we are given ...

  g(x) = 3/5·f(x)

This means the y-intercept is also scaled:

  g(0) = 3/5·f(0)

  f(0) = 5/3·g(0) . . . . . multiply by 5/3

  f(0) = 5/3·15 = 25

The y-intercept of f(x) is 25.

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