The inputs are 1 and -1 when the output is 2.
Step-by-step explanation:
The given function is
f(x) = 10 x²
Then we set y = f (x)
y = 10 x²
By dividing each side by 10 we get
x² = y/10
Then we solve for x
x = ±
Now we have to find the input(s) when the output is 10
x = ±
x = ± 1
Hence, the inputs are 1 and -1 when the output is 2.
The final solution is x =1 and x = -1.
Answer:
D 90
Step-by-step explanation:
x/4 ≥ 20
Multiply each side by 4
4*x/4 ≥ 20*4
x ≥ 80
The only number greater than or equal to 80 is 90
Step-by-step explanation:
f(3)=?
f(x)=2x+5
put x=3,
f(3)=2(3)+5=6+5=11
------------
g(2)=?
g(x)=x^2-3
put x=2,
g(2)=2^2-3=4-3=1
-----------------
g(f(-1))=?
g(x)=x^2-3
and f(-1)=2(-1)+5= -2+5=3
so g(f(-1))=3^2-3=9-3=6
----------------
f(g(-1))=?
f(x)=2x+5
g(x)=g(-1)=(-1)^2-3=1-3= -2
f(g(-1))=2(-2)+5= -4+5=1
----------------
g(f(x))=?
g(x)= x^2-3
put x=f(x),
g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25
