All categories

3 years ago

If f(x) = 2x²–5x+3, find f(x+1)

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

Answer:

$2x^{2}$ -x

Step-by-step explanation:

To find (x+1) substitue x+1 into the function.

1. 2(x+1)^2-5(x+1)+3: Substitution

2. 2x^2+4x+2-5x+5+3: First do binominal expansion theorem for 1st one then distrubtive property for the first and second one.

3.Combine like with like

$2x^{2}$ , 4x+(-5x)= -x, 2-5+3=0 so

f(x+1)= $2x^{2}$ -x

You might be interested in

Given a cube with a volume of 18cm^3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Galina-37 [17]

Volume of pyramid = 1/3 * height * area of the base

= 1/3 * volume of the cube

= 6 cm^3

6 0

3 years ago

What is the range of the function f(x) = |x| +2?

kykrilka [37]

Imagine the graph of f(x)=|x|. This can only output positive values ( $x \geq 0$ ).

Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is $x \geq 2$

5 0

3 years ago

11/ 42 Marks

amm1812

Answer:

(a)x=128 degrees

(b) $\angle APD\neq 116^\circ$

Step-by-step explanation:

$\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ$

(a) Now:

$\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ$

(b)

$\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ$

$\angle APD\neq 116^\circ$

7 0

3 years ago

What number divided by -4 equals -3?

worty [1.4K]

12 divided by -4 equals-3 .

7 0

3 years ago

Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on th

Orlov [11]

Answer:

50 mph

Step-by-step explanation:

To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2

Add the two numbers

40+60=100

now just divide by 2 because there was 2 drives giving you 50 mph

Hope this helps!

4 0

3 years ago

If f(x) = 2x²–5x+3, find f(x+1)​

If f(x) = 2x²–5x+3, find f(x+1)