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3 years ago

Given f(x) = 3x-4 and g(x)= -2x+7 evaluate. PLEASE HELP.

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

see the attachments below for the steps :)

The simplified expression is as follows:

d(-3x^2 + 9x - 14)

Softa [21]3 years ago

4 0

Answer:

-21

Step-by-step explanation:

The given functions are

$f(x)=3x-4$

$g(x)=-2x+7$

We need to find the value of $(g\circ f)(6)$ .

The substitute x=6 in f(x), to find the value f(6).

$f(6)=3(6)-4=18-4=14$

The substitute x=14 in g(x), to find the value g(14).

$g(14)=-2(14)+7=-28+7=-21$

According to the composition of functions,

$(g\circ f)(x)=g(f(x))$

Substitute x=6 in the above formula.

$(g\circ f)(6)=g(f(6))$

$(g\circ f)(6)=g(14)$

$(g\circ f)(6)=-21$

Therefore the value of $(g\circ f)(6)$ is -21.

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