Question

If f(x)=3x, g(x)=x+4, and h(x)=x2-1, find the value of f[g(1)]

Answer 1

Answer:

15.

Step-by-step explanation:

The given functions are

$f(x)=3x$

$f[g(1)]=f[(1)+4]$

$h(x)=x^2-1$

We need to find the value of f[g(1)].

$f[g(1)]=f[(1)+4]$          $[\because f[g(1)]=f[(1)+4]]$

$f[g(1)]=f[5]$

$f[g(1)]=3(5)$           $[\because f(x)=3x]$

$f[g(1)]=15$    

Therefore, the value of f[g(1)] is 15.