Respuesta :
Function of a function is the interior function which is responsible for the output of the exterior functions. The value of the function [tex]f(g(-2)[/tex] is 68.
What is the function of a function?
Function of a function is the interior function which is responsible for the output of the exterior functions.
Given information-
The given equations in the problem are,
[tex]f(x)=8-10x\\g(x)=5x+4[/tex]
The value of [tex]f(g(-2)[/tex] has to be find out.
First find the interior function,
[tex]g(-2)=5\times(-2)+4\\g(-2)=-10+4\\g(-2)=-6[/tex]
Hence the value of the interior function at [tex]x[/tex] equals to -2 is,
Now The value of [tex]f(g(-2)[/tex] is,
[tex]f(g(-2)=f(-6)[/tex]
Hence put the values of -6 in the first function,
[tex]f(g(-2)=f(-6)=8-10\times(-6)\\f(g(-2)=8+60\\f(g(-2)=68[/tex]
Hence the value of the function [tex]f(g(-2)[/tex] is 68.
Learn more about the interior function-
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