Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given the functions f(x)=5x+3 and g(x)=x^(2)-7, what is f(g(-3))? A. -77 B. -12 C. 3 D. 13 E. 137

Given the functions f(x)=5x+3 f(x)=5 x+3 and g(x)=x2−7 g(x)=x^{2}-7 , what is f(g(−3))? f(g(-3)) ? \newlineA. −77-77\newlineB. −12-12\newlineC. 33\newlineD. 1313\newlineE. 137137

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Evaluate expression when a complex numbers and a variable term is givenright chevron icon

Full solution

Q. Given the functions f(x)=5x+3 f(x)=5 x+3 and g(x)=x2−7 g(x)=x^{2}-7 , what is f(g(−3))? f(g(-3)) ? \newlineA. −77-77\newlineB. −12-12\newlineC. 33\newlineD. 1313\newlineE. 137137
  1. Find g(−3)g(-3): First, we need to find the value of g(−3)g(-3).
    g(x)=x2−7g(x) = x^2 - 7
    g(−3)=(−3)2−7g(-3) = (-3)^2 - 7
    g(−3)=9−7g(-3) = 9 - 7
    g(−3)=2g(-3) = 2
  2. Calculate f(g(−3))f(g(-3)): Now that we have g(−3)g(-3), we can find f(g(−3))f(g(-3)).
    f(x)=5x+3f(x) = 5x + 3
    f(g(−3))=f(2)f(g(-3)) = f(2)
    f(2)=5(2)+3f(2) = 5(2) + 3
    f(2)=10+3f(2) = 10 + 3
    f(2)=13f(2) = 13

More problems from Evaluate expression when a complex numbers and a variable term is given

Question
Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.\newline‾\underline{\hspace{1cm}}\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the complex conjugate of the given number.\newline4+10i4 + 10i\newline\newlineWrite your answer in the form a+bia + bi.\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify.\newline−4i−9i\frac{{-4i}}{{-9i}}\newline\newlineWrite your answer in the form a+bia + bi. Reduce all fractions.\newline_____\_\_\_\_\_\newline
Get tutor helpright-arrow

Posted 1 month ago

Question
Combine the like terms to create an equivalent expression.\newline7k−k+19=07k-k+19=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Apply the distributive property to factor out the greatest common factor.\newline9+12n= 9+12 n=
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the equation.\newline12=n−9n=□ \begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the amplitude of y=−sin⁡(8x−3)+5 y=-\sin (8 x-3)+5 ?\newlineunits
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the period of\newliney=4sin⁡(−2x+7)−1 ?  y=4 \sin (-2 x+7)-1 \text { ? } \newlineGive an exact value.\newlineunits
Get tutor helpright-arrow

Posted 1 month ago

Question
3⋅(3+20i)= 3 \cdot(3+20 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 3 months ago

Question
(35−23i)+(13+25i)= (35-23 i)+(13+25 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 1 month ago

View all (62)