What is $y = f (g (x))$ $y=f(g(x))$ if $f (x) = 4^{x}$ $f(x)=4^x$ and $g (x) = x + 1$ $g(x)=x+1$ ?

Question

1342 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-13T09:32:09

The answer is $= 4 \cdot 4^{x}$ $=4*4^x$

This is a composition of functions

$f (x) = 4^{x}$ $f(x)=4^x$

$g (x) = x + 1$ $g(x)=x+1$

$y = f (g (x)) = f (x + 1)$ $y=f(g(x))=f(x+1)$

$= 4^{x + 1}$ $=4^(x+1)$

$= 4 \cdot 4^{x}$ $=4*4^x$

What is y=f(g(x))y=f(g(x)) if f(x)=4xf(x)=4^x and g(x)=x+1g(x)=x+1?