103k views
4 votes
Suppose f(x)=2x-5 and g(x)=|-3x-1|.
Find the following value. G(2)-f(0)=

1 Answer

4 votes

Hello!

To find the value of of g(2) - f(0), we need to substitute "2" into g(x), and "0" into f(x).

This is how it would look after substituting: f(0) = 2(0) - 5 and g(2) = |-3(2) - 1|. Also, since the expression says we are subtracting f(x), the entire equation becomes negative: -f(0) = -(2(0) - 5).

With that, we can solve for the final value.

|-3(2) - 1| + -(2(0) - 5) (multiply)

|-6 - 1| + -(0 - 5) (use the distributive property)

|-6 - 1| + 5 (simplify)

|-7| + 5 (simplify the absolute value of -7)

7 + 5 = 12

Therefore, g(2) - f(0) is equal to 12.

User Sunny Bisht
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories