Question

Record: o/1Shamar RevelComposition of FonctionsJun 05, 11:10:38 PMWatch help videoGiven the definitions of f(x) and g(2) below, find the value of f(g(0)).f(x) = 4x - 5g(x) = 2x² + 5x – 11

Answer 1

To find values of functions, we need just to substitute what is inside the parenthesis into the expression. For example, inf the first function:

$f(x)=4x-5$

We can substitute x by whatever we want, but we need to substitute it everywhere, for example:

$\begin{gathered} f(a)=4a-5 \\ f(T)=4T-5 \end{gathered}$

In this case, we want:

$f(g(0))=4g(0)-5$

Similarly, we do that for g:

$\begin{gathered} g(x)=2x^2+5x-11 \\ g(0)=2\cdot0^2+5\cdot0-11=-11 \end{gathered}$

Then:

$f(g(0))=f(-11)=4\cdot(-11)-5)=-44-5=-49$