Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

Answer:

Step-by-step explanation:

Given the definitions of f(x) and g(x) below,

f(x) = x^2+ x + 10

g(x) = -5x-3

f(g(x)) = f(-5x-3)

f(-5x-3) = (-5x-3)²+((-5x-3)+10

f(-5x-3) = 25x²+30x+9-5x-3+10

f(-5x-3) = 25x² +25x+16

f(g(x)) = 25x² +25x+16

f(g(-1)) = 25(-1)² +25(-1)+16

f(g(-1)) = 25-25 + 16

f(g(-1)) = 16

Hence f(g(-1)) is 16

You might be interested in

The sum of the square of a positive number and the square of 44 more than the number is 8080. what is the number?

mash [69]

Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6

5 0

3 years ago

Read 2 more answers

karina was comparing the volume of a 20 inch cube to the volume of a 10 inch cube. how many times greater is the volume of the l

schepotkina [342]

Its 2 times larger
////////

5 0

3 years ago

{x|x is an odd whole number less than 8}

yawa3891 [41]

Answer:

first x=2