F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8
f^-1(4) = 2(4) - 8
f^-1(4) = 0
If the ratios form a proportion, the ratios will be equal. first we'll simplify the ratios:
14/21
divide top and bottom by 7
2/3
26/39
divide top and bottom by 13
2/3
ss you can see now, the ratios are indeed equal, so they do form a proportion
Hey there!
We could try to factor this trinomial by splitting up the middle term. We do this by multiplying the coefficient of the first term, 1x², by the constant, –10. This will get us –10. Next, you would have to find two factors of –10 that add up to the coefficient of the middle term, which is –7.
Factors of –10:
–10 + 1 = –9
–5 + 2 = –3
–2 + 5 = 3
–1 + 10 = 9
As you can see, no factors of –10 add up to –7. Therefore, this trinomial is prime. In other words, you could only get this trinomial by multiplying it by 1 to get itself.
Hope this helped you out! :-)
