How well do you know your fractions? if maria has a cake with 8 slices and she eats 3 slices, what fraction of the cake is left?
2 answers:
When an object is divided into a number of equal parts then each part is called a fraction. A proper fraction has numerator and denominator mutually prime.
The amount of cake maria has is .
is some positive real number.
She eats 3 slices, then the amount of cake left with Maria is .
The fraction of cake left with Maria is .
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Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=
Hope I helped :)