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Mathematics 10 Online
OpenStudy (emmynimmy):

Algebra

OpenStudy (emmynimmy):

satellite73 (satellite73):

for the first one, find \(g(0)=4\times 0+2=2\) then \(f(2)=\frac{1}{2+2}=\frac{1}{4}\)

satellite73 (satellite73):

second one is similar, but start with \(f(0)=\frac{1}{0+2}=\frac{1}{2}\) then find \(g(\frac{1}{2})\)

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

satellite73 (satellite73):

we need \(g(3)\) which cannot be seen from the picture

OpenStudy (emmynimmy):

i attached second.

satellite73 (satellite73):

it it clear what \(g(3)\) is from the graph?

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

satellite73 (satellite73):

you are looking for \(g(f(1))\) so first, from the graph, what is \(f(1)\)?

satellite73 (satellite73):

here we find \(f(1)\) by locating 1 on the x axis, going up to the graph and finding the y coordinate we see it is 3

satellite73 (satellite73):

so \(f(1)=3\) now we need \(g(3)\)

satellite73 (satellite73):

OpenStudy (emmynimmy):

so its 4

satellite73 (satellite73):

yes

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

satellite73 (satellite73):

\[A=\pi r^2\]so ir \(r=5t+4\) you have \[A=\pi(5t+4)^2\]

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

satellite73 (satellite73):

lots of choices here one would be \[\frac{4}{x^2}, x+2\]

OpenStudy (emmynimmy):

OpenStudy (emmynimmy):

last one

OpenStudy (jiteshmeghwal9):

G(x+h)=9-(x+h)^2 G(x)=9-x^2

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