contestada


f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.

d. The function k(x)=logc x is a vertical stretch or compression of g or of its reflection -g .

Respuesta :

It is true that the function k(x)= logc x represents a vertical stretch or compression of g.

What is Logarithmic Function?

  • A logarithm is an exponent that is written in a specific way.
  • For example, we know that the exponential formula 32 = 9 is correct. In this case, the base is 3 and the exponent is 2.
  • The equation will be written in a logarithmic form as log3 9 = 2.

So,

  • Given: k(x)= logc x

Then,

  • k(x)=logb x/ logb c
  • k(x)= 1/(logb c) g(x) ......{g(x)= logb x}
  • k(x)= h.g(x)

Therefore, it is true that the function k(x)= logc x represents a vertical stretch or compression of g.

Know more about Logarithmic Functions here:

https://brainly.com/question/13473114

#SPJ4

Otras preguntas