Question

Composition of two functions:Basic

Answer 1

The functions, q(x) and r(x) are defined as 2•x + 1, and -5•x - 3, respectively, therefore;

$\: (q \: \circ \: r) (1)= - 15$

$\: (r \: \circ \: q) (1)= -18$

Which method can be used to evaluate the given composite functions?

The given functions are;

q(x) = 2•x + 1

r(x) = -5•x - 3

The evaluation of the composite functions can be presented as follows;

$(q \: \circ \: r) (x)= q(r(x))$

Therefore;

$(q \: \circ \: r) (1)= q(r(1))$

• r(1) = -5×1 - 3 = -8

Which gives;

$(q \: \circ \: r) (1)= q( - 8)$

q(-8) = 2×(-8) + 1 = -15

Therefore;

$(q \: \circ \: r) (1)= - 15$

Similarly, we have;

$(r \: \circ \: q) (1)= r(q(1))$

q(1) = 2×1 + 1 = 3

r(3) = -5×3 - 3 = -18

Which gives;

$(r \: \circ \: q) (1)= -18$

Learn more about composite functions here:

https://brainly.com/question/13502804

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