High School Math : Understanding Polynomials

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Polynomials

If \(\displaystyle f(x)=x^{3}-1\) and \(\displaystyle g(x)=x^{2}+1\), what is \(\displaystyle g(f(2))\)?

Possible Answers:

\(\displaystyle 32\)

\(\displaystyle 124\)

\(\displaystyle 12\)

\(\displaystyle 90\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 50\)

Explanation:

\(\displaystyle g(f(2))\) is a composite function where \(\displaystyle f(2)\) is plugged into \(\displaystyle g(x)\):

\(\displaystyle f(2)=(2)^{3}-1=8-1=7\)

\(\displaystyle g(7)=(7)^{2}+1=49+1=50\)

 

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