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

Given $f\left(x\right)=5x-5$ and $g\left(x\right)=5x-1,$
Evaluate the composite function $g\left[f\left(0\right)\right]$

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2abehn

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