# Given f(x) = 5x − 5 and g(x) = 5x − 1,Evaluate the composite function g[f(0)]

Composite functions

Given $$f(x) = 5x − 5$$ and $$g(x) = 5x − 1,$$
Evaluate the composite function $$g[f(0)]$$

2021-03-07

$$g(f(x))=5(f(x))-1$$
Now substitute value of f(x) into above composite function
Then $$g(f(x))=5(5x-5)-1$$
$$=25x-25-1$$
$$25x-26$$
Now substitute the value of $$x=0$$ in the above composite function
Then $$g(f(x))=25x-26$$
$$g(g(0))=25\times0-26$$
$$=-26$$
Hence the $$g(f(0))=-26$$