Question

Pls help!(:

1. find f(0) and use the function f(x)=2|x+10|-6

2. find x if g(x)=20 use the function g(x)=x+1

3. find g(0)+f(1) using the functions f(x)=2|x+10|-6 and g(x)=x+1

Please explain Im confused..

Answer 1

Question 1)

Given the function

f(x) = 2|x+10| - 6

You need to remember that:

f(x) = y

f(0) means we need to determine the value of y at x = 0.

so substitute x = 0 in the function

`f\left(x\right)\:=\:2|x+10|\:-\:6`

`f\left(0\right)\:=\:2|0+10|\:-\:6`

`=2\left|10\right|-6`

Apply absolute value:
`\left|a\right|=a,\:a\ge 0`

`=2\cdot \:10`

`=20`

Thus,

`f\left(0\right)\:=\:20`

Question 2)

Given the fuction

g(x) = x+1

substitute g(x) = 20 in the function

20 = x+1

x = 20-1

x = 19

Thus,

x = 0

Question 3)

Given the function

f(x)=2|x+10|-6

substitute x = 1 in the function

f(1)=2|1+10|-6

f(1)=2|1+10|-6

f(1) = 2|11| - 6

Apply absolute value:
`\left|a\right|=a,\:a\ge 0`

f(1) = 2(11) - 6

f(1) = 22 - 6

f(1) = 16

Given the function

g(x)=x+1

substitute x = 0 in the function

g(0) = 0+1

g(0) = 1

Thus,

g(0)+f(1) = 16+1

= 17