Question

I'll send you a pic of the equation

Answer 1

f(g(1)) = 15.

Step-by-step explanation:

Given f(x) and g(x) defined below:

`$f\mleft(x\mright)=3x,g\mleft(x\mright)=x+4$`

To evaluate f(g(1)), first find g(1):

`\begin{gathered} g(x)=x+4 \\ g(1)=1+4 \\ g(1)=5 \end{gathered}`

Thus:

`\begin{gathered} f\mleft(g\mleft(1\mright)\mright)=f(5) \\ f(x)=3x \\ \implies f(5)=3*5 \\ =15 \end{gathered}`

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