Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Step-by-step explanation:
We need to show whether
or
so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).
we can also write it as:
now all we have to do is to make x the subject of the equation.
now we'll interchange the variables
this is the inverse of f(x)
and it does equal to g(x)
Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Answer:
-338-78= -416
Step-by-step explanation:
X-7 < -3
Remember that the less than or equal to has a line underneath it!
Answer:
I think it might be 0 im not to sure.
