Could someone help me out?

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Answer :

The values of the functions are f(4) = 47, f(k) = 2(k)^2 + 4(k) - 1 and f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4

How to evaluate the expression?

The function is given as:

f(x) = 2x^2 + 4x - 1

To calculate f(4), we have:

f(4) = 2(4)^2 + 4(4) - 1

Evaluate the expression

f(4) = 47

To calculate f(k), we have:

f(k) = 2(k)^2 + 4(k) - 1

To calculate f(x + h), we have:

f(x + h) = 2(x + h)^2 + 4(x + h) - 1

Expand

f(x + h) = 2(x^2 + 2hx + h^2) + 4x + 4h - 4

Expand

f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4

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