Question

3)f(x) = x + 3. g(x) = 7x + 5, f(g(f(g(x)))) = ?
O
A. 49x + 64
O
B. 27x+39
O
C. 24x + 22
O
D. 32x + 48
0 Option 5​

Answer 1

Step-by-step explanation:

so the answer is (A) 49x+64

Answer 2

Given,

$\[f\left( x \right) = x + 3\]$

$\[g\left( x \right) = 7x + 5\]$

Solution,

$\[\begin{array}{l} = f\left( {g\left( {f\left( {g\left( x \right)} \right)} \right)} \right)\\ = f\left( {g\left( {f\left( {7x + 5} \right)} \right)} \right)\\ = f\left( {g\left( {7x + 5 + 3} \right)} \right)\\ = f\left( {g\left( {7x + 8} \right)} \right)\\ = f\left( {7\left( {7x + 8} \right) + 5} \right)\\ = f\left( {49x + 56 + 5} \right)\\ = f\left( {49x + 61} \right)\\ = 49x + 61 + 3\\ = 49x + 64\end{array}\]$

Hence the correct option is (a), i.e. $\[49x + 64\]$.