All categories

2 years ago

HELP ME PLZZZZZZZZZZZZZZZ

Mathematics

1 answer:

zhenek [66]2 years ago

4 0

Step-by-step explanation:

g(f(x)) = f(x) substituted in g(x)'s function.

g(3x^2 - x - 8) = 3x^2 - x - 8 + 5 = 3x^2 - x - 3.

You might be interested in

Does the given set of points determine a plane? Circle Yes or no

avanturin [10]

Yes it does determine a plane

4 0

3 years ago

Complete the equation of the line whose y-intercept is (0, -1) and slope is 4.<br> (Khan academy)

vagabundo [1.1K]

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

Here m is slope and b is y-intercept

m = 4; b = -1

y = 4x - 1

5 0

3 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

John joined a fitness club that has a membership fee of $30 +25 per month. Mary’s club has a fee of 50 and charges 15 per month.

zmey [24]

Just solve until the answers are the same

25 times x plus 30 for John

15 times x plus 50 for Mary

8 0

3 years ago

Find f(x) = -3x2 + 2x - 7 if f(-1) <br> I am really confused. Can someone please help me?

Oksanka [162]

F(-1)
replace all x with -1
f(-1)=-3(-1)^2+2(-1)-7
f(-1)=-3(1)-2-7
f(-1)=-3-9
f(-1)=-12

3 0

3 years ago