Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11 given $f(x) = -3x + 10$ and $g(x) = x^2 - 7x$ find the following $g(…

Question

11 given $f(x) = -3x + 10$ and $g(x) = x^2 - 7x$ find the following $g(-3) = \square$

Explanation:

Step1: Substitute \( x = -3 \) into \( g(x) \)

We have \( g(x) = x^2 - 7x \), so substitute \( x=-3 \) into this function: \( g(-3)=(-3)^2 - 7\times(-3) \)

Step2: Calculate each term

First, calculate \( (-3)^2 = 9 \), and \( 7\times(-3)= - 21 \), so \( -7\times(-3)=21 \)

Step3: Sum the results

Now, add the two results: \( 9 + 21 = 30 \)

Answer:

30