Given
f(x) = 2x - 5
g(x) = -4x - 5
Find
g(f(4))
Explanation
first we will find the value of f(4)
[tex]\begin{gathered} f\mleft(x\mright)=2x-5 \\ f(4)=2(4)-5=8-5=3 \end{gathered}[/tex]
so ,
g(f(4)) = g(3)
[tex]\begin{gathered} g(f(4))=g(3) \\ g(f(4))=g(3)=-4(3)-5=-12-5=-17 \end{gathered}[/tex]
Final Answer
Hence , the value of g(f(4)) is -17
