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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Given that f(x) = 5x - 10 and g(x) = x + 3, solve for f(g(x)) when x = -1.
-30, 0, 10, 12
Solution:
g(x) = y\(_1\) = x + 3 ….. (1)
f(x) = y\(_2\) = 5x - 10 ….. (2)
f(g(x)) is a composite function can be written as (fog)(x)
Where x is present in f(x) you should substitute y\(_1\)
I.e., substituting equation (1) in x which is present in equation (2)
f(g(x)) = 5 y\(_1\) - 10 where y\(_1\) = x + 3
f(g(x)) = 5 (x + 3) - 10
f(g(x)) = 5x + 15 - 10
f(g(x)) = 5x + 5
Now substitute x = -1 in f (g(x))
f(g(-1)) = 5 (-1) + 5
So we get
f(g(-1)) = -5 + 5 = 0
Therefore, f(g(x)) when x = -1 is 0.
Given that f(x) = 5x - 10 and g(x) = x + 3, solve for f(g(x)) when x = -1.
-30, 0, 10, 12
Summary:
Given that f(x) = 5x - 10 and g(x) = x + 3, f(g(x)) when x = -1 is 0.
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