JSTAX01 JSTAX01
  • 14-11-2018
  • Mathematics
contestada

Given the function f(x) = log5(x + 1), find the value of f−1(2).

Respuesta :

gmany
gmany gmany
  • 24-11-2018

[tex]Domain:\\x+1 > 0\to x > -1\\\\f(x)=\log_5(x+1)\to y=\log_5(x+1)\\\\\text{exchange x to y}\\\\\log_5(y+1)=x\qquad\text{solve for y}\\\\\log_5(y+1)=x\iff y+1=5^x\qquad\text{subtract 1 from both sides}\\\\y=5^x-1\\\\f^{-1}(x)=5^x-1\ for\ x > -1\\\\f^{-1}(2)=5^2-1=25-1=24\\\\Answer:\ \boxed{f^{-1}(2)=24}[/tex]

Answer Link

Otras preguntas

Describe how you regroup when you find the sum of 64 + 43?
How many times does 8 go into 50?
Which of the following is an example of a metaphor? A. "...welcoming the cool morning like a long-lost friend." B. "They were ballet dancers twirling in the wi
Why did the bostonians feel the British had pushed them too far
Which is one way that the Neolithic Revolution contributed to the development of ancient river valley civilizations?
1. How might reading a series of proverbs affect people?
which of the following statements can be inferred from the map below?
a puppy will grow 28 in it is currently 1 foot tall
Human Evolution in Modern Times
91 square foot bathroom has a length of 13 feet what is the width of the bathroom