Question

Use the function to evaluate the indicated expressions and simplify.

Answer 1

The function to evaluate the expression is f(x)+f (2) =4x^2+22.

The function simplify () attempts to "simplify" the input expression by using clever heuristics.

⇒ f(x)=4x^2+3

⇒ f(x+2)=4(x+2)^2+3

by using algebra formula

⇒ f(x+2)=4(x^2+4+4x)+3

⇒ f(x+2)=4x^2+16x+19

by adding f(x)+f (2)

⇒ f(x)+f(2)=4x^2+3+(4×(2)^2 )+3

⇒ f(x)+f(2)=4x^2+3+(4×4)+3

⇒ f(x)+f(2)=4x^2+3+16+3

⇒ f(x)+f(2)=4x^2+22

There is a general function called simplify () that seeks to reduce an expression to its most basic form. Simplify in simply, this function is defined. reduce module.

Hence, the function to evaluate the indicated expressions and simplify f(x)=4x^2+3, f(x+2)=4(x+2)^2+3 and f(x)+f(2)=4x^2+22.

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