Question

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

Composite functions
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asked 2021-03-06

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

Answers (1)

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 \(g(f(0))=-26\)

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