Math  /  Algebra

QuestionSuppose that the functions ff and gg are defined as follows. f(x)=4x5g(x)=5x+1\begin{array}{l} f(x)=4 x-5 \\ g(x)=\sqrt{5 x+1} \end{array}
Find fgf \cdot g and fgf-g. Then, give their domains using interval notation. (fg)(x)=(f \cdot g)(x)= \square
Domain of fgf \cdot g : \square (fg)(x)=(f-g)(x)= \square
Domain of fgf-g : \square

Studdy Solution
(fg)(x)=(4x5)5x+1(f \cdot g)(x) = (4x - 5)\sqrt{5x + 1}
Domain of fgf \cdot g: [15,)\left[ -\frac{1}{5}, \infty \right)
(fg)(x)=4x55x+1(f - g)(x) = 4x - 5 - \sqrt{5x + 1}Domain of fgf - g: [15,)\left[ -\frac{1}{5}, \infty \right)

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord