+57 Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1
also, please explain how to do other questions like this
+279 Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1
f(x) = 5x − 10
g(x) = x + 3
To solve for f(g(x)), write f(x) = x + 3 and set it equal to 5x - 10 like so:
f(x + 3) = 5x - 10
Now substitute x+3 on the right side in place of x. It should look something like this:
f(x + 3) = 5(x + 3) - 10
f(x + 3) = 5x + 15 - 10
f(x + 3) = 5x + 5
Substitute the value of -1 into x.
f(x + 3) = 5(-1) + 5
f(x + 3) = -5 +5
f(x + 3) = 0
f(g(x)) = 0
