Let f(x) = 2x − 5and g(x) = 5x − 2. what is (g ∘ f)(−6)?

1 Answer
Sahar Mulla ❤
Apr 4, 2018

It is given that #f(x) = 2x − 5# and #g(x) = 5x − 2#

we know #(g ∘ f)(x) = g(f(x))#

Here,
#(g ∘ f)(x) = g(2x − 5)#

#=> 5(2x − 5) − 2# #color(white)(wwwwwwwww# #["as " color(red)(g(f(x)) = 5(f(x)) − 2)]#

#=> 10x − 27# #color(white)(wwddddwwwwwww# #["replace " color(red)(x=-6)]#

#=> -60 − 27 = -87#

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