If f(x) = 2x + 3 and g(x) = x^2, what is g(f(x))?

Prepare for the TSI A2 Mathematics Test. Enhance your skills with comprehensive questions, detailed solutions, and effective strategies. Succeed on your exam!

Multiple Choice

If f(x) = 2x + 3 and g(x) = x^2, what is g(f(x))?

Explanation:
When you compose two functions, you apply the second function to the output of the first. Since g(t) = t^2, g(f(x)) means you square the result you get from f. So g(f(x)) = [f(x)]^2. With f(x) = 2x + 3, that becomes (2x + 3)^2. Expanding would give 4x^2 + 12x + 9, but the compact form (2x + 3)^2 is the correct representation of the composition.

When you compose two functions, you apply the second function to the output of the first. Since g(t) = t^2, g(f(x)) means you square the result you get from f. So g(f(x)) = [f(x)]^2. With f(x) = 2x + 3, that becomes (2x + 3)^2. Expanding would give 4x^2 + 12x + 9, but the compact form (2x + 3)^2 is the correct representation of the composition.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy