Let f(x) = −4x + 7 and g(x) = 10x − 6. Find f(g(x)).
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OpenStudy (anonymous):
ok hold on
OpenStudy (anonymous):
so graph this and you will get your first awser y=−4x+7
OpenStudy (anonymous):
okay
OpenStudy (misty1212):
HI!!
OpenStudy (misty1212):
it does not say to graph, does it?
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OpenStudy (anonymous):
and then hears how you do the 2nd part of your problem Let's solve for g.
gx=10x−6
Step 1: Divide both sides by x.
gxx=10x−6x
g=10x−6x
Answer:
g=10x−6x
OpenStudy (misty1212):
lol oooooooh nooooooooo!
OpenStudy (anonymous):
y what am i doing wrong
OpenStudy (misty1212):
solve for \(g\)??!! darling, \(g\) is not a variable
\(g(x)\) is a function
it is \[g(x)=10x-6\]
OpenStudy (anonymous):
im lost
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OpenStudy (misty1212):
\[f(x)=-4x+7\\
g(x)=10x-6\] so
\[f(g(x))=f(10x-6)\] is the first step
OpenStudy (misty1212):
then since \[\huge f(\clubsuit)=-4\clubsuit +7\] you have \[\huge f(10x-6)=-4(10x-6)+7\]
OpenStudy (misty1212):
a little algebra will clean that up nicely
OpenStudy (anonymous):
would i just solve it like a regular two variable equation or how do i do it with f