SOLUTION: For the function f(x)=7/(8x+10) find the range of f by finding the values of a for which f(x)=a has a solution. Enter your answer as an inequality or a restriction on y

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Question 1160310: For the function
f(x)=7/(8x+10)

find the range of f by finding the values of a for which f(x)=a has a solution.
Enter your answer as an inequality or a restriction on y.
the range of y=f(x) is ?
Answer by ikleyn(52747) About Me  (Show Source):
You can put this solution on YOUR website!
.

You start from this equation

    a = 7%2F%288x%2B10%29


which implies


    8ax + 10a = 7

    8ax = 7 - 10a

      x = %287-10a%29%2F%288a%29.


Now you see that for EVERY value of "a", not equal to zero, you may find the solution x, according to this formula.


It EXACTLY means that the range of the function f(x) is the set of all real numbers, EXCEPT of  {0}.


In the form of inequality, the range is the set  of all real values of y, not equal to 0

      { y =/= 0 },   or, equivalently,   {y < 0  or  y > 0}.      ANSWER

Solved.