ibrahimmarwa577 ibrahimmarwa577
  • 12-12-2021
  • Mathematics
contestada

Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38

Respuesta :

jimrgrant1 jimrgrant1
  • 12-12-2021

Answer:

2x + h

Step-by-step explanation:

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]

= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]

= [tex]\frac{2hx+h^2}{h}[/tex]

= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

= 2x + h

Answer Link

Otras preguntas

What happens when light from the Sun passes through any type of matter?
Which cause did Sullivan Ballou support?
Which element will have the greatest attraction for the calcium electrons?
One millivolt is equal to A. 0.000001 volt. B. 0.001 volt. C. 1000 volts. D. 1,000,000 volts.
RSTU has coordinates R (0,0), S (2,3), T (6,3), and U (4,0). If the parallelogram is reflected over the line y = x, what will the coordinates of the image be?
What is meant by infection?
In a translation, the line segments that connect each point on the preimage to the corresponding point on the image are not only congruent but also __________.
How could the loss of biodiversity affect humans
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes of her daily calories at dinner. If x represents the calories consumed at din
It is important to look at your counterarguments when re-reading. a. true b. false