Question #39c85

Nov 24, 2017

$F \left(x\right) = {\left(3 - {\left(3 - {x}^{2}\right)}^{4}\right)}^{4} , f \left(x\right) = 25 \sqrt{x}$

Explanation:

You would have to start in the innermost function first:

$f \left(x\right) = b \left[c \left(b \left[c \left(x\right)\right]\right)\right]$

$f \left(x\right) = b \left[c \left(b \left[3 - {x}^{2}\right]\right)\right]$

Then input the next sections with the x that you found.

$f \left(x\right) = b \left[c {\left(3 - {x}^{2}\right)}^{4}\right]$

$f \left(x\right) = b \left[3 - {\left(3 - {x}^{2}\right)}^{4}\right]$

$f \left(x\right) = {\left(3 - {\left(3 - {x}^{2}\right)}^{4}\right)}^{4}$

Part 2:

$f \left(x\right) = a \left(a \left[d \left(x\right)\right]\right)$

$f \left(x\right) = a \left(a \left[\sqrt{x}\right]\right)$

$f \left(x\right) = a \left(5 \sqrt{x}\right)$

$f \left(x\right) = 5 \left(5 \sqrt{x}\right) = 25 \sqrt{x}$