If (x)=x/2-2 and g(x)=2x2+x-3, find (f+g)(x)

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

(f+g)(x)=f(x)+g(x)=
$\frac{x}{2}-2+2x^2+x-3=2x^2+\frac{2}{2}x+\frac{1}{2}x-2-3=$
$2x^2+\frac{3}{2}x-5$

$(f+g)(x)=2x^2+\frac{3}{2}x-5$

You might be interested in

Which expression is equivalent to this expression?<br><br> 3/4 (4h – 6)

sergij07 [2.7K]

Answer:
3h-9/2
Step-by-step explanation:
3/4(4h-6)=3h-18/4
simplify
3h-9/2

7 0

2 years ago

Please help, image below. I'll mark brainliest

Bogdan [553]

Answer:

there's no picture

Step-by-step explanation:

7 0

2 years ago

Why does dividing 5 by a decimal less than 1 give a quotient greater than 5

andrew-mc [135]

If you divide by a decimal, you are breaking apart 1 into multiple pieces and so you are trying to find how many of that size piece will fit into 5. For example if you divide by .5 (point five), there are 2 point fives in 1 so there are 10 point fives in 5. The quotient is larger.

I hope you got that...

5 0

2 years ago

What is the y-intercept of the liner function? (y=3x-2)

inysia [295]

The y-intercept of the linear function y = 3x - 2 is -2

<h3>How to determine the y-intercept?</h3>

The function is given as

y = 3x - 2

The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)

As a general rule, linear functions are those functions that have constant rates or slopes

Next, we set x to 0, and calculate y to determine the value of the y-intercept

y = 3(0) - 2

Remove the bracket in the above equation

y = 3 * 0 - 2

Evaluate the product of 3 and 0 i.e. multiply 3 and 0

y = 0 - 2

Evaluate the difference of 0 and -2 i.e. subtract 0 from 2

y = -2

The above means that the value of y when x is 0 is -2

Hence, the y-intercept of the linear function y = 3x - 2 is -2