Question

Given f(x) = X-2 and g(x) = 5x + 3, evaluate each function and match the correct answer.g(x))drag and drop answer hereITEM BANK: Move to Top-14RR1))drag and drop answer here-22919(-1))drag and drop answer here-3g(1-3))drag and drop answer here-7958-719(-3))drag and drop answer here

Answer 1

Given the functions;

`\begin{gathered} f(x)=x-2 \\ g(x)=5x+3 \end{gathered}`

We can now evaluate each function as follows;

`\begin{gathered} g(f(x))=5(x-2)+3 \\ g(f(x))=5x-10+3 \\ g(f(x))=5x-7 \end{gathered}`
`\begin{gathered} (2) \\ f(1)=1-2 \\ f(1)=-1 \\ \text{Therefore;} \\ f(f(1))=-1-2 \\ f(f(1)=-3 \end{gathered}`
`\begin{gathered} (3) \\ g(-1)=5(-1)+3 \\ g(-1)=-5+3 \\ g(-1)=-2 \\ \text{Therefore;} \\ g(g(-1))=5(-2)+3 \\ g(g(-1)=-10+3 \\ g(g(-1)=-7 \end{gathered}`
`\begin{gathered} (4) \\ f(-3)=-3-2 \\ f(-3)=-5 \\ \text{Therefore;} \\ g(f(-3))=5(-5)+3 \\ g(f(-3))=-25+3 \\ g(f(-3))=-22 \end{gathered}`