math/algebra

posted by .

find the domain of the function

1) f(x)= log2( 49-x^2)

2) f(x)=In [1/x+5]

  • math/algebra -

    the domai of log(x) is x>0

    So, we need

    1) 49-x^2 > 0
    2) 1/x+5 > 0

    Just solve those inequalities.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Graphing Logarithms function

    Graph the function below. Determine the domain, range, and vertical asymptote. Please show all of your work. f(x) = log2(x-4)
  2. college algebra

    1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=?
  3. math

    solve the equation log2(x+4)-log4x=2 the 2 and 4 are lower than the g This is what I got: log2(x+4)+log2(4^x)=2 log2((x+4)*4^x)=2 4^x(x+4)=4 x=0 is a solution?
  4. algebra

    2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain?
  5. algebra/please can you ck my answers

    Tell what the output value is for the function machine for the given values. log 16.9=1.23 log2^152=9 log2^1=0 log0.046=1.34 thank you
  6. Math

    Hello! Could someone please take a look at the problem below and let me know if I made mistakes in simplifying the given equation?
  7. Math

    I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive …
  8. Math

    I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive …
  9. Math

    I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive …
  10. Urgent math

    i need help with these two homework problems Use the Laws of Logarithms to combine the expression into a single logarithm log2 5 − 5 log2 x + 1/2 log2(x + 1) Solve the logarithmic equation for x log2(x + 2) + log2(x − 1) …

More Similar Questions