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3 years ago

If f(x)=3x^2-1 and g(x)=x+2, find (f+g)(x)

Mathematics

2 answers:

vodka [1.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

X^2+3x-1 apex

algol133 years ago

5 0

Answer:
(f+g)(x) = 3x^2 + x + 1

Explanation:
We are given that:
f(x) = 3x^2 - 1
g(x) = x + 2
To find (f+g)(x), all we have to do is add the above to functions as follows:
(f+g)(x) = f(x) + g(x)
= 3x^2 - 1 + x + 2
= 3x^2 + x + 1

Hope this helps :)

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Read 2 more answers

determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to

kolezko [41]

We are given the following quadratic equation

$f(x)=2x^2+7x-10$

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

$h=-\frac{b}{2a}$

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

$h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75$

The y-coordinate of the vertex is given by

$\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}$

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is