If g(x) = x², which expression is equal to g(x + 1)?

A.) 1

B.) x² + 1

C.) x² + 2x + 1

D.) x² - x

E.) x² + x + 1

A.) 1

B.) x² + 1

C.) x² + 2x + 1

D.) x² - x

E.) x² + x + 1

**g(x) = x²**

g(x + 1)

= (x + 1)² {substituted (x + 1) in for x}

= (x + 1)(x+ 1) {when squaring a binomial, multiply it by itself}

= x² + x + x + 1 {used the foil method}

=

**x² + 2x + 1**{combined like terms}

**E.)**

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