If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]?

Answers

Answer 1

Answer: If f(x) = 2x + 3 and g(x) = (x - 3)/2,what is the value of f[g(-5)]?f[g(-5)] means substitute -5 for x in the right side of g(x),simplify, then substitute what you get for x in the rightside of f(x), then simplify.It's a "double substitution".To find f[g(-5)], work it from the inside out.In f[g(-5)], do only the inside part first.In this case the inside part if the red part g(-5)g(-5) means to substitute -5 for x ing(x) = (x - 3)/2So we take out the x's and we haveg( ) = ( - 3)/2Now we put -5's where we took out the x's, and we nowhaveg(-5) = (-5 - 3)/2Then we simplify:g(-5) = (-8)/2g(-5) = -4Now we have the g(-5)]f[g(-5)]means to substitute g(-5) for x inf[x] = 2x + 3So we take out the x's and we havef[ ] = 2[ ] + 3Now we put g(-5)'s where we took out the x's, and wenow havef[g(-5)] = 2[g(-5)] + 3But we have now found that g(-5) = -4, we can putthat in place of the g(-5)'s and we getf[g(-5)] = f[-4]But thenf(-4) means to substitute -4 for x inf(x) = 2x + 3sof(-4) = 2(-4) + 3then we simplifyf(-4) = -8 + 3f(-4) = -5Sof[g(-5)] = f(-4) = -5

Related Questions

Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.How many does each mango and each apple cost?
What is the exact volume of a cylinder that has a height of 4.9 yd and a radius of 2.2 yd?yd3
If n-2 = 1/16, then n could be which of the following?-8 -4 -1/4 1/4 4
PLEASE HELP!!!!!The data set represents the heights of players on a soccer team. 5.75, 5.16, 6, 5.25, 5.5, 6.25, 5.66, 5.33, 5.33, 6, 5.75. 5.66, 5.16 What is the interquartile range (IQR) of the data set? A. 0.585 B. 1.09 C. 5.6 D. 5.875
Which choice gives the solution of this inequality? 3t+ < 28

o is the centre of the circle and tp is the tangent to the circle from an external point t. if angle pbt=30 prove that Ba:at 2:1

Answers

What are B and a with respect to the circle?

Unfinished lumber is sold in units called board feet . A board foot is the volume of lumber contained in a board 1 inch thick 1 foot wide and 1 foot long how many cubic inches of wood are in 1 board foot

Answers

The answer is 144 hope it helped

-3x + 6 - 5(2x - 3)

Answers

Answer:

-13x+9

Step-by-step explanation:

I believe this is right

Answer:

-13x + 21

Step-by-step explanation:

-3x + 6 - 5(2x-3)

-3x + 6 - 10x +15

-13x + 21

Games that are typically educational games intended for a preschool audience, and do not contain any inappropriate or objectional content. Question 2 options:

A T Teen

B eC Early Childhood

C M Mature

D E Everyone

Answers

Answer:

B. EC

Step-by-step explanation:

Make a table of ordered pairs for the equation.y=−13x+4

Then plot two points to graph the equation.

Answers

this is what I got for it

Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10
b.2y + 3x = 10
c.2x + 3y = 10

Answers

Twice the abscissa increased by three times the ordinate is 10.
x - the abscissa;
y - the ordinate.
Answers A and B represents: "Three times the abscissa increased by twice the ordinate is 10." Therefore A are B are wrong.
Answer:
C ) 2 x + 3 y = 10

Other Questions

What Is 17/4 [fraction] as a mixed or a whole number please answer

I need help lol....

Which are sums of perfect cubes? Check all that apply.A=8x6 + 27 B=x9 + 1 C=81x3 + 16x6 D=x6 + x3 E=27x9 + x12 F=9x3 + 27x9

How much would you pay in move-in costs for the two-bedroom Hometown Apartment if you pay first and last month's rent, a $185 security deposit, and a 30% fee to the rental agent? Round to the nearest dollar.~2 bedroom hometown: $515 plus utilities A. $1,515 B. $1,254 C. $866 D. $1,370 x