Given f(x)=5x+2 and g(x)=-3x-4, find the following: a. f(g(0)) b. f(f(3))
c. (g of)(0)
d. (g o g)(2)

9514 1404 393

  a. -18

  b. 87

  c. -10

  d. 26

Step-by-step explanation:

For evaluating functions with different arguments, I find a calculator to be helpful.

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If you want to do this by hand, put the argument value where the variable is and do the arithmetic. It is helpful to know that

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For example, ...

a. f(g(0)) = f(-3(0) -4) = f(-4) = 5(-4) +2 = -18

step-by-step explanation:

my butt

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3