Find f[g(x)] and g[f(x)] for f(x) = 7/x, g(x) = sqrt of x -

[lsniff]

Find f[g(x)] and g[f(x)].

f(x) = 7/x ; g(x) = square root of x-2

 

[skeeter]

Re: Find f[g(x)] and g[f(x)].

\(\displaystyle f(x) = \frac{7}{x}\)
\(\displaystyle g(x) = \sqrt{x-2}\)

so ...

\(\displaystyle f[g(x)] = f(\sqrt{x-2}) = \frac{7}{\sqrt{x-2}}\)

now, you try to determine \(\displaystyle g[f(x)]\)

 

[lsniff]

Re: Find f[g(x)] and g[f(x)].

thank you