Question

given f (x) = x +1 and g (x) =x2, what is ( g o f ) (x)

Answer 1

The value of ( g o f ) (x) is x^2 + 2

What is a function?

A function is a rule or an expression that shows relationship between a variable known as the independent variable and another variable known as the dependent variable.

From the information given, we have;

• f (x) = x +1
• g (x) =x^ 2

( g o f ) (x) can be determined by substituting the value for x in g(x) as the function f(x) = x + 1

( g o f ) (x) = (x+ 1) ^ 2 + 1

( g o f ) (x) = x^2 + 1^ 2 + 1

Find the square

( g o f ) (x) = x^2 + 1 + 1

( g o f ) (x) = x^2 + 2

The value of ( g o f ) (x) is x^2 + 2

Thus, the value of ( g o f ) (x) is x^2 + 2

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