Calculate the indicated function values in the following problems. Simplify your answers.
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Answer:
14) [tex]f(10) = 10[/tex], 15) [tex]f(-2) = -2[/tex], 16) [tex]f(a) = a[/tex], 17) [tex]f(a+b) = a+b[/tex], 18) [tex]g(10) = 38[/tex], 19) [tex]g(-2) = -22[/tex], 20) [tex]g(a) = 5\cdot a - 12[/tex], 21) [tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]
Step-by-step explanation:
Let [tex]f(x) = x[/tex] and [tex]g(x) = 5\cdot x - 12[/tex], we proceed to resolve on each case:
14) [tex]f(10)[/tex]
[tex]f(x) = x[/tex]
[tex]f(10) = 10[/tex]
15) [tex]f(-2)[/tex]
[tex]f(x) = x[/tex]
[tex]f(-2) = -2[/tex]
16) [tex]f(a)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a) = a[/tex]
17) [tex]f(a+b)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a+b) = a+b[/tex]
18) [tex]g(10)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(10) = 5\cdot (10) -12[/tex]
[tex]g(10) = 38[/tex]
19) [tex]g(-2)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(-2) = 5\cdot (-2) -12[/tex]
[tex]g(-2) = -22[/tex]
20) [tex]g(a)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a) = 5\cdot a - 12[/tex]
21) [tex]g(a+b)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a+b) = 5\cdot (a+b) -12[/tex]
[tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]