Given the definitions of f(x) and g(x) below, find the value of (gof)(9). f(x) = -2x + 14
g(x) = 2x2 - 6x – 2

The value of (gof)(9)=54

Step-by-step explanation:

We are given:

We need to find (gof)(9).

To find (gof)(9) first we will find g(f(x)) and then put x=9

Finding g(f(x))

By putting value of f(x) into g(x) i.e

Now putting x=9

so, the value of (gof)(9)=54

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles