g(x) function

[becca]

Suppose g is a function that takes a real number x and performs the following three steps in the order given: (1) subtract 19; (2) square root; (3) make the quantity the denominator of a fraction with numerator 7. Find an expression for g(x).

Would you write it like this?
g(-19)=sqroot x/7

 

[tkhunny]

No, that makes no sense. What is the variable of interest for g? If it is x, then you failed to substitute for it. If it is something else, it's rather hard to see since "-19" appears nowhere.

One piece at a time.

\(\displaystyle g_{1}(x) = x - 19\)

\(\displaystyle g_{2}(x) = \sqrt{x-19}\)

\(\displaystyle g(x) = \frac{7}{\sqrt{x-19}}\)

Be very careful with the Order of Operations. Use parentheses to clarify meaning.