F(x) = 5(x + 25)andg(x) = 3x + 579what's the value of f(g(4x)) ?

Question

`f(x) = 5(x + 25)`and
`g(x) = 3x + 579`what's the value of f(g(4x)) ?

Answer 1

`f(g(4x))=60x\text{ +3020}`

Step-by-step explanation

`\begin{gathered} f(x)=5(x+25) \\ g(x)=3x+579 \end{gathered}`

Step 1

do g(4x)

`\begin{gathered} g(4x)=3(4x)+579 \\ g(4x)=12x+579 \\ \end{gathered}`

Step 2

now, F(g(x))

`\begin{gathered} g(4x)=12x+579 \\ f(g(4x))=5((12x\text{ +579)+25)} \\ f(g(4x))=5(12x+579+25) \\ f(g(4x))=60x+2895+125 \\ f(g(4x))=60x\text{ +3020} \\ \end{gathered}`